LCM of 40, 60 and 80 is equal to 240. The comprehensive work provides more insight of how to find what is the lcm of 40, 60 and 80 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 40, 60 and 80?
lcm (40 60 80) = (?)
40 => 2 x 2 x 2 x 5
60 => 2 x 2 x 3 x 5
80 => 2 x 2 x 2 x 2 x 5
= 2 x 2 x 2 x 5 x 3 x 2
= 240
lcm (40, 60 and 80) = 240
240 is the lcm of 40, 60 and 80.
where,
40 is a positive integer,
60 is a positive integer,
240 is the lcm of 40, 60 and 80,
{2, 2, 2, 5} in {2 x 2 x 2 x 5, 2 x 2 x 3 x 5, 2 x 2 x 2 x 2 x 5} are the most repeated factors of 40, 60 and 80,
{3, 2} in {2 x 2 x 2 x 5, 2 x 2 x 3 x 5, 2 x 2 x 2 x 2 x 5} are the the other remaining factors of 40, 60 and 80.
Use in Mathematics: LCM of 40, 60 and 80
The below are some of the mathematical applications where lcm of 40, 60 and 80 can be used:
- to find the least number which is exactly divisible by 40, 60 and 80.
- to find the common denominators for the fractions having 40, 60 and 80 as denominators in the unlike fractions addition or subtraction.
Use in Real-world Problems: 40, 60 and 80 lcm
In the context of lcm real world problems, the lcm of 40, 60 and 80 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 40 seconds, B tolls at 60 seconds and C tolls at 80 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: 40, 60 and 80 lcm
The below are the important notes to be remembered while solving the lcm of 40, 60 and 80:
- The repeated and non-repeated prime factors of 40, 60 and 80 should be multiplied to find the least common multiple of 40, 60 and 80, when solving lcm by using prime factors method.
- The results of lcm of 40, 60 and 80 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.