LCM of 80, 90 and 100 is equal to 3600. The comprehensive work provides more insight of how to find what is the lcm of 80, 90 and 100 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 80, 90 and 100?
lcm (80 90 100) = (?)
80 => 2 x 2 x 2 x 2 x 5
90 => 2 x 3 x 3 x 5
100 => 2 x 2 x 5 x 5
= 2 x 2 x 5 x 2 x 2 x 3 x 3 x 5
= 3600
lcm (80, 90 and 100) = 3600
3600 is the lcm of 80, 90 and 100.
where,
80 is a positive integer,
90 is a positive integer,
3600 is the lcm of 80, 90 and 100,
{2, 2, 5} in {2 x 2 x 2 x 2 x 5, 2 x 3 x 3 x 5, 2 x 2 x 5 x 5} are the most repeated factors of 80, 90 and 100,
{2, 2, 3, 3, 5} in {2 x 2 x 2 x 2 x 5, 2 x 3 x 3 x 5, 2 x 2 x 5 x 5} are the the other remaining factors of 80, 90 and 100.
Use in Mathematics: LCM of 80, 90 and 100
The below are some of the mathematical applications where lcm of 80, 90 and 100 can be used:
- to find the least number which is exactly divisible by 80, 90 and 100.
- to find the common denominators for the fractions having 80, 90 and 100 as denominators in the unlike fractions addition or subtraction.
Use in Real-world Problems: 80, 90 and 100 lcm
In the context of lcm real world problems, the lcm of 80, 90 and 100 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 80 seconds, B tolls at 90 seconds and C tolls at 100 seconds repeatedly. The answer is that all bells A, B and C toll together at 3600 seconds for the first time, at 7200 seconds for the second time, at 10800 seconds for the third time and so on.
Important Notes: 80, 90 and 100 lcm
The below are the important notes to be remembered while solving the lcm of 80, 90 and 100:
- The repeated and non-repeated prime factors of 80, 90 and 100 should be multiplied to find the least common multiple of 80, 90 and 100, when solving lcm by using prime factors method.
- The results of lcm of 80, 90 and 100 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.