LCM of 325 and 355
23075 is the LCM of 325 and 355. The step-by-step solution using prime factors and special division methods is one of the simple methods to easily understand how to find what is the LCM of 325 and 355, provided along with the use cases of mathematics and real-world problems.
what is the lcm of 325 and 355?
lcm (325 355) = (?)
325 => 5 x 5 x 13
355 => 5 x 71
= 5 x 5 x 13 x 71
= 23075
lcm (325 and 355) = 23075
23075 is the LCM of 325 and 355.
where,
325 is a positive integer,
355 is a positive integer,
23075 is the LCM of 325 and 355,
{5} in {5 x 5 x 13, 5 x 71} is the common factors of 325 and 355,
{5 x 13 x 71} in {5 x 5 x 13, 5 x 71} are the uncommon factors of 325 and 355.
Use in Mathematics: LCM of 325 and 355
The below are some of the mathematical applications where lcm of 325 and 355 can be used:
- to find the least number which is exactly divisible by 325 and 355.
- to find the common denominator for two fractions having 325 and 355 as denominators in the unlike fractions addition or subtraction.
In the context of lcm real world problems, the lcm of 325 and 355 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 325 seconds and bell B tolls at 355 seconds repeatedly. The answer is that all bells A and B toll together at 23075 seconds for the first time, at 46150 seconds for the second time, at 69225 seconds for the third time and so on.
Important Notes: 325 and 355 lcm
The below are the important notes to be remembered while solving the lcm of 325 and 355:
- The common prime factors and the remaining prime factors of 325 and 355 should be multiplied to find the least common multiple of 325 and 355, when solving lcm by using prime factors method.
- The results of lcm of 325 and 355, and the lcm of 355 and 325 are identical, it means the order of given numbers in the lcm calculation doesn't affect the results.
How-to: What is the LCM of 325 and 355?
The below solved example with step by step work shows how to find what is the lcm of 325 and 355 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 325 and 355?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 325
B = 355
What to be found:
find the lcm of 325 and 355
step 2 Find the prime factors of 325 and 355:
Prime factors of 325 = 5 x 5 x 13
Prime factors of 355 = 5 x 71
step 3 Identify the repeated and non-repeated prime factors of 325 and 355:
{5} is the most repeated factor and {5 x 13 x 71} are the non-repeated factors of 325 and 355.
step 4 Find the product of repeated and non-repeated prime factors of 325 and 355:
= 5 x 5 x 13 x 71
= 23075
lcm(325 and 355) = 23075
Hence,
lcm of 325 and 355 is 23075
This special division method is one of the easiest ways to understand the entire calculation to find the LCM of 325 and 355.
step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:
Integers: 325 and 355
What to be found:
lcm (325, 355) = ?
step 2 Arrange the given integers in the horizontal form with space or comma separated format:
325 and 355
step 3 Choose the divisor which divides each or most of the given integers (325 and 355), 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 325 and 355 is not divisible by the selected divisor; repeat the same process until all the integers are brought to 1 as like below:
| 5 | 325 | 355 |
| 5 | 65 | 71 |
| 13 | 13 | 71 |
| 71 | 1 | 71 |
| 1 | 1 |
step 4 Multiply the divisors to find the lcm of 325 and 355:
= 5 x 5 x 13 x 71
= 23075
LCM(325, 355) = 23075
The LCM of two numbers 325 and 355 is 23075