LCM of 48, 64 and 88 is equal to 2112. The comprehensive work provides more insight of how to find what is the lcm of 48, 64 and 88 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 48, 64 and 88?
lcm (48 64 88) = (?)
48 => 2 x 2 x 2 x 2 x 3
64 => 2 x 2 x 2 x 2 x 2 x 2
88 => 2 x 2 x 2 x 11
= 2 x 2 x 2 x 2 x 3 x 2 x 2 x 11
= 2112
lcm (48, 64 and 88) = 2112
2112 is the lcm of 48, 64 and 88.
where,
48 is a positive integer,
64 is a positive integer,
2112 is the lcm of 48, 64 and 88,
{2, 2, 2, 2} in {2 x 2 x 2 x 2 x 3, 2 x 2 x 2 x 2 x 2 x 2, 2 x 2 x 2 x 11} are the most repeated factors of 48, 64 and 88,
{3, 2, 2, 11} in {2 x 2 x 2 x 2 x 3, 2 x 2 x 2 x 2 x 2 x 2, 2 x 2 x 2 x 11} are the the other remaining factors of 48, 64 and 88.
Use in Mathematics: LCM of 48, 64 and 88
The below are some of the mathematical applications where lcm of 48, 64 and 88 can be used:
- to find the least number which is exactly divisible by 48, 64 and 88.
- to find the common denominators for the fractions having 48, 64 and 88 as denominators in the unlike fractions addition or subtraction.
Use in Real-world Problems: 48, 64 and 88 lcm
In the context of lcm real world problems, the lcm of 48, 64 and 88 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 48 seconds, B tolls at 64 seconds and C tolls at 88 seconds repeatedly. The answer is that all bells A, B and C toll together at 2112 seconds for the first time, at 4224 seconds for the second time, at 6336 seconds for the third time and so on.
Important Notes: 48, 64 and 88 lcm
The below are the important notes to be remembered while solving the lcm of 48, 64 and 88:
- The repeated and non-repeated prime factors of 48, 64 and 88 should be multiplied to find the least common multiple of 48, 64 and 88, when solving lcm by using prime factors method.
- The results of lcm of 48, 64 and 88 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.