LCM of 15, 36 and 40 is equal to 360. The comprehensive work provides more insight of how to find what is the lcm of 15, 36 and 40 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 15, 36 and 40?
lcm (15 36 40) = (?)
15 => 3 x 5
36 => 2 x 2 x 3 x 3
40 => 2 x 2 x 2 x 5
= 2 x 2 x 3 x 5 x 3 x 2
= 360
lcm (15, 36 and 40) = 360
360 is the lcm of 15, 36 and 40.
where,
15 is a positive integer,
36 is a positive integer,
360 is the lcm of 15, 36 and 40,
{2, 2, 3, 5} in {3 x 5, 2 x 2 x 3 x 3, 2 x 2 x 2 x 5} are the most repeated factors of 15, 36 and 40,
{3, 2} in {3 x 5, 2 x 2 x 3 x 3, 2 x 2 x 2 x 5} are the the other remaining factors of 15, 36 and 40.
Use in Mathematics: LCM of 15, 36 and 40
The below are some of the mathematical applications where lcm of 15, 36 and 40 can be used:
- to find the least number which is exactly divisible by 15, 36 and 40.
- to find the common denominators for the fractions having 15, 36 and 40 as denominators in the unlike fractions addition or subtraction.
Use in Real-world Problems: 15, 36 and 40 lcm
In the context of lcm real world problems, the lcm of 15, 36 and 40 helps to find the exact time when three similar and recurring 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 all the bells A, B and C toll together, if bell A tolls at 15 seconds, B tolls at 36 seconds and C tolls at 40 seconds repeatedly. The answer is that all bells A, B and C toll together at 360 seconds for the first time, at 720 seconds for the second time, at 1080 seconds for the third time and so on.
Important Notes: 15, 36 and 40 lcm
The below are the important notes to be remembered while solving the lcm of 15, 36 and 40:
- The repeated and non-repeated prime factors of 15, 36 and 40 should be multiplied to find the least common multiple of 15, 36 and 40, when solving lcm by using prime factors method.
- The results of lcm of 15, 36 and 40 is identical even if we change the order of given numbers in the lcm calculation, it means the order of given numbers in the lcm calculation doesn't affect the results.