LCM of 36, 48 and 60 is equal to 720. The comprehensive work provides more insight of how to find what is the lcm of 36, 48 and 60 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 36, 48 and 60?
lcm (36 48 60) = (?)
36 => 2 x 2 x 3 x 3
48 => 2 x 2 x 2 x 2 x 3
60 => 2 x 2 x 3 x 5
= 2 x 2 x 3 x 3 x 2 x 2 x 5
= 720
lcm (36, 48 and 60) = 720
720 is the lcm of 36, 48 and 60.
where,
36 is a positive integer,
48 is a positive integer,
720 is the lcm of 36, 48 and 60,
{2, 2, 3} in {2 x 2 x 3 x 3, 2 x 2 x 2 x 2 x 3, 2 x 2 x 3 x 5} are the most repeated factors of 36, 48 and 60,
{3, 2, 2, 5} in {2 x 2 x 3 x 3, 2 x 2 x 2 x 2 x 3, 2 x 2 x 3 x 5} are the the other remaining factors of 36, 48 and 60.
Use in Mathematics: LCM of 36, 48 and 60
The below are some of the mathematical applications where lcm of 36, 48 and 60 can be used:
- to find the least number which is exactly divisible by 36, 48 and 60.
- to find the common denominators for the fractions having 36, 48 and 60 as denominators in the unlike fractions addition or subtraction.
Use in Real-world Problems: 36, 48 and 60 lcm
In the context of lcm real world problems, the lcm of 36, 48 and 60 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 36 seconds, B tolls at 48 seconds and C tolls at 60 seconds repeatedly. The answer is that all bells A, B and C toll together at 720 seconds for the first time, at 1440 seconds for the second time, at 2160 seconds for the third time and so on.
Important Notes: 36, 48 and 60 lcm
The below are the important notes to be remembered while solving the lcm of 36, 48 and 60:
- The repeated and non-repeated prime factors of 36, 48 and 60 should be multiplied to find the least common multiple of 36, 48 and 60, when solving lcm by using prime factors method.
- The results of lcm of 36, 48 and 60 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.