90 and 93 LCM
LCM of 90 and 93 is equal to 2790. The comprehensive work provides more insight of how to find what is the lcm of 90 and 93 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 90 and 93?
lcm (90 93) = (?)
90 => 2 x 3 x 3 x 5
93 => 3 x 31
= 3 x 2 x 3 x 5 x 31
= 2790
lcm (90 and 93) = 2790
2790 is the lcm of 90 and 93.
where,
90 is a positive integer,
93 is a positive integer,
2790 is the lcm of 90 and 93,
{3} in {2 x 3 x 3 x 5, 3 x 31} is the common factors of 90 and 93,
{2 x 3 x 5 x 31} in {2 x 3 x 3 x 5, 3 x 31} are the uncommon factors of 90 and 93.
Use in Mathematics: LCM of 90 and 93
The below are some of the mathematical applications where lcm of 90 and 93 can be used:
- to find the least number which is exactly divisible by 90 and 93.
- to find the common denominator for two fractions having 90 and 93 as denominators in the unlike fractions addition or subtraction.
In the context of lcm real world problems, the lcm of 90 and 93 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 90 seconds and bell B tolls at 93 seconds repeatedly. The answer is that all bells A and B toll together at 2790 seconds for the first time, at 5580 seconds for the second time, at 8370 seconds for the third time and so on.
Important Notes: 90 and 93 lcm
The below are the important notes to be remembered while solving the lcm of 90 and 93:
- The common prime factors and the remaining prime factors of 90 and 93 should be multiplied to find the least common multiple of 90 and 93, when solving lcm by using prime factors method.
- The results of lcm of 90 and 93, and the lcm of 93 and 90 are identical, it means the order of given numbers in the lcm calculation doesn't affect the results.
For values other than 90 and 93, use this below tool:
How-to: What is the LCM of 90 and 93?
The below solved example with step by step work shows how to find what is the lcm of 90 and 93 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 90 and 93?
step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 90
B = 93
What to be found:
find the lcm of 90 and 93
step 2 Find the prime factors of 90 and 93:
Prime factors of 90 = 2 x 3 x 3 x 5
Prime factors of 93 = 3 x 31
step 3 Identify the repeated and non-repeated prime factors of 90 and 93:
{3} is the most repeated factor and {2 x 3 x 5 x 31} are the non-repeated factors of 90 and 93.
step 4 Find the product of repeated and non-repeated prime factors of 90 and 93:
= 3 x 2 x 3 x 5 x 31
= 2790
lcm(90 and 93) = 2790
Hence,
lcm of 90 and 93 is 2790
Solved example using prime factors method:
What is the LCM of 90 and 93?
step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 90
B = 93
What to be found:
find the lcm of 90 and 93
step 2 Find the prime factors of 90 and 93:
Prime factors of 90 = 2 x 3 x 3 x 5
Prime factors of 93 = 3 x 31
step 3 Identify the repeated and non-repeated prime factors of 90 and 93:
{3} is the most repeated factor and {2 x 3 x 5 x 31} are the non-repeated factors of 90 and 93.
step 4 Find the product of repeated and non-repeated prime factors of 90 and 93:
= 3 x 2 x 3 x 5 x 31
= 2790
lcm(90 and 93) = 2790
Hence,
lcm of 90 and 93 is 2790
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 90 and 93.
step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:
Integers: 90 and 93
What to be found:
lcm (90, 93) = ?
step 2 Arrange the given integers in the horizontal form with space or comma separated format:
90 and 93
step 3 Choose the divisor which divides each or most of the given integers (90 and 93), 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 90 and 93 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 90 and 93:
= 2 x 3 x 3 x 5 x 31
= 2790
LCM(90, 93) = 2790
The least common multiple for two numbers 90 and 93 is 2790
This special division method is the easiest way to understand the entire calculation of what is the lcm of 90 and 93.
step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:
Integers: 90 and 93
What to be found:
lcm (90, 93) = ?
step 2 Arrange the given integers in the horizontal form with space or comma separated format:
90 and 93
step 3 Choose the divisor which divides each or most of the given integers (90 and 93), 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 90 and 93 is not divisible by the selected divisor; repeat the same process until all the integers are brought to 1 as like below:
| 2 | 90 | 93 |
| 3 | 45 | 93 |
| 3 | 15 | 31 |
| 5 | 5 | 31 |
| 31 | 1 | 31 |
| 1 | 1 |
step 4 Multiply the divisors to find the lcm of 90 and 93:
= 2 x 3 x 3 x 5 x 31
= 2790
LCM(90, 93) = 2790
The least common multiple for two numbers 90 and 93 is 2790
