LCM of 16, 24 and 30 is equal to 240. The comprehensive work provides more insight of how to find what is the lcm of 16, 24 and 30 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 16, 24 and 30?
lcm (16 24 30) = (?)
16 => 2 x 2 x 2 x 2
24 => 2 x 2 x 2 x 3
30 => 2 x 3 x 5
= 2 x 2 x 2 x 3 x 2 x 5
= 240
lcm (16, 24 and 30) = 240
240 is the lcm of 16, 24 and 30.
where,
16 is a positive integer,
24 is a positive integer,
240 is the lcm of 16, 24 and 30,
{2, 2, 2, 3} in {2 x 2 x 2 x 2, 2 x 2 x 2 x 3, 2 x 3 x 5} are the most repeated factors of 16, 24 and 30,
{2, 5} in {2 x 2 x 2 x 2, 2 x 2 x 2 x 3, 2 x 3 x 5} are the the other remaining factors of 16, 24 and 30.
Use in Mathematics: LCM of 16, 24 and 30
The below are some of the mathematical applications where lcm of 16, 24 and 30 can be used:
- to find the least number which is exactly divisible by 16, 24 and 30.
- to find the common denominators for the fractions having 16, 24 and 30 as denominators in the unlike fractions addition or subtraction.
Use in Real-world Problems: 16, 24 and 30 lcm
In the context of lcm real world problems, the lcm of 16, 24 and 30 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 16 seconds, B tolls at 24 seconds and C tolls at 30 seconds repeatedly. The answer is that all bells A, B and C toll together at 240 seconds for the first time, at 480 seconds for the second time, at 720 seconds for the third time and so on.
Important Notes: 16, 24 and 30 lcm
The below are the important notes to be remembered while solving the lcm of 16, 24 and 30:
- The repeated and non-repeated prime factors of 16, 24 and 30 should be multiplied to find the least common multiple of 16, 24 and 30, when solving lcm by using prime factors method.
- The results of lcm of 16, 24 and 30 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.