LCM of 87 and 145 is equal to 435. The comprehensive work provides more insight of how to find what is the lcm of 87 and 145 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 87 and 145?
lcm (87 145) = (?)
87 => 3 x 29
145 => 5 x 29
= 29 x 3 x 5
= 435
lcm (87 and 145) = 435
435 is the lcm of 87 and 145.
where,
87 is a positive integer,
145 is a positive integer,
435 is the lcm of 87 and 145,
{29} in {3 x 29, 5 x 29} is the common factors of 87 and 145,
{3 x 5} in {3 x 29, 5 x 29} are the uncommon factors of 87 and 145.
Use in Mathematics: LCM of 87 and 145
The below are some of the mathematical applications where lcm of 87 and 145 can be used:
- to find the least number which is exactly divisible by 87 and 145.
- to find the common denominator for two fractions having 87 and 145 as denominators in the unlike fractions addition or subtraction.
Use in Real-world Problems: 87 and 145 lcm
In the context of lcm real world problems, the lcm of 87 and 145 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 87 seconds and bell B tolls at 145 seconds repeatedly. The answer is that all bells A and B toll together at 435 seconds for the first time, at 870 seconds for the second time, at 1305 seconds for the third time and so on.
Important Notes: 87 and 145 lcm
The below are the important notes to be remembered while solving the lcm of 87 and 145:
- The common prime factors and the remaining prime factors of 87 and 145 should be multiplied to find the least common multiple of 87 and 145, when solving lcm by using prime factors method.
- The results of lcm of 87 and 145, and the lcm of 145 and 87 are identical, it means the order of given numbers in the lcm calculation doesn't affect the results.