LCM of 6 and 8 is equal to 24. The comprehensive work provides more insight of how to find what is the lcm of 6 and 8 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 6 and 8?
lcm (6 8) = (?)
6 => 2 x 3
8 => 2 x 2 x 2
= 2 x 3 x 2 x 2
= 24
lcm (6 and 8) = 24
24 is the lcm of 6 and 8.
where,
6 is a positive integer,
8 is a positive integer,
24 is the lcm of 6 and 8,
{2} in {2 x 3, 2 x 2 x 2} is the common factors of 6 and 8,
{3 x 2 x 2} in {2 x 3, 2 x 2 x 2} are the uncommon factors of 6 and 8.
Use in Mathematics: LCM of 6 and 8
The below are some of the mathematical applications where lcm of 6 and 8 can be used:
- to find the least number which is exactly divisible by 6 and 8.
- to find the common denominator for two fractions having 6 and 8 as denominators in the unlike fractions addition or subtraction.
Use in Real-world Problems: 6 and 8 lcm
In the context of lcm real world problems, the lcm of 6 and 8 helps to find the exact time when two similar and recurring events 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 the bells A and B all toll together, if bell A tolls at 6 seconds and bell B tolls at 8 seconds repeatedly. The answer is that all bells A and B toll together at 24 seconds for the first time, at 48 seconds for the second time, at 72 seconds for the third time and so on.
Important Notes: 6 and 8 lcm
The below are the important notes to be remembered while solving the lcm of 6 and 8:
- The common prime factors and the remaining prime factors of 6 and 8 should be multiplied to find the least common multiple of 6 and 8, when solving lcm by using prime factors method.
- The results of lcm of 6 and 8, and the lcm of 8 and 6 are identical, it means the order of given numbers in the lcm calculation doesn't affect the results.