LCM of 24, 32 and 48 is equal to 96. The comprehensive work provides more insight of how to find what is the lcm of 24, 32 and 48 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 24, 32 and 48?
lcm (24 32 48) = (?)
24 => 2 x 2 x 2 x 3
32 => 2 x 2 x 2 x 2 x 2
48 => 2 x 2 x 2 x 2 x 3
= 2 x 2 x 2 x 2 x 3 x 2
= 96
lcm (24, 32 and 48) = 96
96 is the lcm of 24, 32 and 48.
where,
24 is a positive integer,
32 is a positive integer,
96 is the lcm of 24, 32 and 48,
{2, 2, 2, 2, 3} in {2 x 2 x 2 x 3, 2 x 2 x 2 x 2 x 2, 2 x 2 x 2 x 2 x 3} are the most repeated factors of 24, 32 and 48,
{2} in {2 x 2 x 2 x 3, 2 x 2 x 2 x 2 x 2, 2 x 2 x 2 x 2 x 3} is the other remaining factors of 24, 32 and 48.
Use in Mathematics: LCM of 24, 32 and 48
The below are some of the mathematical applications where lcm of 24, 32 and 48 can be used:
- to find the least number which is exactly divisible by 24, 32 and 48.
- to find the common denominators for the fractions having 24, 32 and 48 as denominators in the unlike fractions addition or subtraction.
Use in Real-world Problems: 24, 32 and 48 lcm
In the context of lcm real world problems, the lcm of 24, 32 and 48 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 24 seconds, B tolls at 32 seconds and C tolls at 48 seconds repeatedly. The answer is that all bells A, B and C toll together at 96 seconds for the first time, at 192 seconds for the second time, at 288 seconds for the third time and so on.
Important Notes: 24, 32 and 48 lcm
The below are the important notes to be remembered while solving the lcm of 24, 32 and 48:
- The repeated and non-repeated prime factors of 24, 32 and 48 should be multiplied to find the least common multiple of 24, 32 and 48, when solving lcm by using prime factors method.
- The results of lcm of 24, 32 and 48 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.