119 and 161 LCM
LCM of 119 and 161 is equal to 2737. The comprehensive work provides more insight of how to find what is the lcm of 119 and 161 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 119 and 161?
lcm (119 161) = (?)
119 => 7 x 17
161 => 7 x 23
= 7 x 17 x 23
= 2737
lcm (119 and 161) = 2737
2737 is the lcm of 119 and 161.
where,
119 is a positive integer,
161 is a positive integer,
2737 is the lcm of 119 and 161,
{7} in {7 x 17, 7 x 23} is the common factors of 119 and 161,
{17 x 23} in {7 x 17, 7 x 23} are the uncommon factors of 119 and 161.
Use in Mathematics: LCM of 119 and 161
The below are some of the mathematical applications where lcm of 119 and 161 can be used:
- to find the least number which is exactly divisible by 119 and 161.
- to find the common denominator for two fractions having 119 and 161 as denominators in the unlike fractions addition or subtraction.
In the context of lcm real world problems, the lcm of 119 and 161 helps to find the exact time when two similar and recurring events with different time schedule happens together at the same time. For example, the real world problems involve lcm in situations to find at what time the bells A and B all toll together, if bell A tolls at 119 seconds and bell B tolls at 161 seconds repeatedly. The answer is that all bells A and B toll together at 2737 seconds for the first time, at 5474 seconds for the second time, at 8211 seconds for the third time and so on.
Important Notes: 119 and 161 lcm
The below are the important notes to be remembered while solving the lcm of 119 and 161:
- The common prime factors and the remaining prime factors of 119 and 161 should be multiplied to find the least common multiple of 119 and 161, when solving lcm by using prime factors method.
- The results of lcm of 119 and 161, and the lcm of 161 and 119 are identical, it means the order of given numbers in the lcm calculation doesn't affect the results.
For values other than 119 and 161, use this below tool:
How-to: What is the LCM of 119 and 161?
The below solved example with step by step work shows how to find what is the lcm of 119 and 161 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 119 and 161?
step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 119
B = 161
What to be found:
find the lcm of 119 and 161
step 2 Find the prime factors of 119 and 161:
Prime factors of 119 = 7 x 17
Prime factors of 161 = 7 x 23
step 3 Identify the repeated and non-repeated prime factors of 119 and 161:
{7} is the most repeated factor and {17 x 23} are the non-repeated factors of 119 and 161.
step 4 Find the product of repeated and non-repeated prime factors of 119 and 161:
= 7 x 17 x 23
= 2737
lcm(119 and 161) = 2737
Hence,
lcm of 119 and 161 is 2737
Solved example using prime factors method:
What is the LCM of 119 and 161?
step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 119
B = 161
What to be found:
find the lcm of 119 and 161
step 2 Find the prime factors of 119 and 161:
Prime factors of 119 = 7 x 17
Prime factors of 161 = 7 x 23
step 3 Identify the repeated and non-repeated prime factors of 119 and 161:
{7} is the most repeated factor and {17 x 23} are the non-repeated factors of 119 and 161.
step 4 Find the product of repeated and non-repeated prime factors of 119 and 161:
= 7 x 17 x 23
= 2737
lcm(119 and 161) = 2737
Hence,
lcm of 119 and 161 is 2737
Solved example using special division method:
This special division method is the easiest way to understand the entire calculation of what is the lcm of 119 and 161.
step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:
Integers: 119 and 161
What to be found:
lcm (119, 161) = ?
step 2 Arrange the given integers in the horizontal form with space or comma separated format:
119 and 161
step 3 Choose the divisor which divides each or most of the given integers (119 and 161), divide each integers separately and write down the quotient in the next line right under the respective integers. Bring down the integer to the next line if any integer in 119 and 161 is not divisible by the selected divisor; repeat the same process until all the integers are brought to 1 as like below:
step 4 Multiply the divisors to find the lcm of 119 and 161:
= 7 x 17 x 23
= 2737
LCM(119, 161) = 2737
The least common multiple for two numbers 119 and 161 is 2737
This special division method is the easiest way to understand the entire calculation of what is the lcm of 119 and 161.
step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:
Integers: 119 and 161
What to be found:
lcm (119, 161) = ?
step 2 Arrange the given integers in the horizontal form with space or comma separated format:
119 and 161
step 3 Choose the divisor which divides each or most of the given integers (119 and 161), divide each integers separately and write down the quotient in the next line right under the respective integers. Bring down the integer to the next line if any integer in 119 and 161 is not divisible by the selected divisor; repeat the same process until all the integers are brought to 1 as like below:
| 7 | 119 | 161 |
| 17 | 17 | 23 |
| 23 | 1 | 23 |
| 1 | 1 |
step 4 Multiply the divisors to find the lcm of 119 and 161:
= 7 x 17 x 23
= 2737
LCM(119, 161) = 2737
The least common multiple for two numbers 119 and 161 is 2737
