LCM of 50, 60 and 90 is equal to 900. The comprehensive work provides more insight of how to find what is the lcm of 50, 60 and 90 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 50, 60 and 90?
lcm (50 60 90) = (?)
50 => 2 x 5 x 5
60 => 2 x 2 x 3 x 5
90 => 2 x 3 x 3 x 5
= 2 x 3 x 5 x 5 x 2 x 3
= 900
lcm (50, 60 and 90) = 900
900 is the lcm of 50, 60 and 90.
where,
50 is a positive integer,
60 is a positive integer,
900 is the lcm of 50, 60 and 90,
{2, 3, 5} in {2 x 5 x 5, 2 x 2 x 3 x 5, 2 x 3 x 3 x 5} are the most repeated factors of 50, 60 and 90,
{5, 2, 3} in {2 x 5 x 5, 2 x 2 x 3 x 5, 2 x 3 x 3 x 5} are the the other remaining factors of 50, 60 and 90.
Use in Mathematics: LCM of 50, 60 and 90
The below are some of the mathematical applications where lcm of 50, 60 and 90 can be used:
- to find the least number which is exactly divisible by 50, 60 and 90.
- to find the common denominators for the fractions having 50, 60 and 90 as denominators in the unlike fractions addition or subtraction.
Use in Real-world Problems: 50, 60 and 90 lcm
In the context of lcm real world problems, the lcm of 50, 60 and 90 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 50 seconds, B tolls at 60 seconds and C tolls at 90 seconds repeatedly. The answer is that all bells A, B and C toll together at 900 seconds for the first time, at 1800 seconds for the second time, at 2700 seconds for the third time and so on.
Important Notes: 50, 60 and 90 lcm
The below are the important notes to be remembered while solving the lcm of 50, 60 and 90:
- The repeated and non-repeated prime factors of 50, 60 and 90 should be multiplied to find the least common multiple of 50, 60 and 90, when solving lcm by using prime factors method.
- The results of lcm of 50, 60 and 90 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.