LCM of 16, 24 and 34 is equal to 816. The comprehensive work provides more insight of how to find what is the lcm of 16, 24 and 34 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 34?
lcm (16 24 34) = (?)
16 => 2 x 2 x 2 x 2
24 => 2 x 2 x 2 x 3
34 => 2 x 17
= 2 x 2 x 2 x 2 x 3 x 17
= 816
lcm (16, 24 and 34) = 816
816 is the lcm of 16, 24 and 34.
where,
16 is a positive integer,
24 is a positive integer,
816 is the lcm of 16, 24 and 34,
{2, 2, 2} in {2 x 2 x 2 x 2, 2 x 2 x 2 x 3, 2 x 17} are the most repeated factors of 16, 24 and 34,
{2, 3, 17} in {2 x 2 x 2 x 2, 2 x 2 x 2 x 3, 2 x 17} are the the other remaining factors of 16, 24 and 34.
Use in Mathematics: LCM of 16, 24 and 34
The below are some of the mathematical applications where lcm of 16, 24 and 34 can be used:
- to find the least number which is exactly divisible by 16, 24 and 34.
- to find the common denominators for the fractions having 16, 24 and 34 as denominators in the unlike fractions addition or subtraction.
Use in Real-world Problems: 16, 24 and 34 lcm
In the context of lcm real world problems, the lcm of 16, 24 and 34 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 34 seconds repeatedly. The answer is that all bells A, B and C toll together at 816 seconds for the first time, at 1632 seconds for the second time, at 2448 seconds for the third time and so on.
Important Notes: 16, 24 and 34 lcm
The below are the important notes to be remembered while solving the lcm of 16, 24 and 34:
- The repeated and non-repeated prime factors of 16, 24 and 34 should be multiplied to find the least common multiple of 16, 24 and 34, when solving lcm by using prime factors method.
- The results of lcm of 16, 24 and 34 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.