LCM of 35, 60 and 75 is equal to 2100. The comprehensive work provides more insight of how to find what is the lcm of 35, 60 and 75 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 35, 60 and 75?
lcm (35 60 75) = (?)
35 => 5 x 7
60 => 2 x 2 x 3 x 5
75 => 3 x 5 x 5
= 3 x 5 x 7 x 2 x 2 x 5
= 2100
lcm (35, 60 and 75) = 2100
2100 is the lcm of 35, 60 and 75.
where,
35 is a positive integer,
60 is a positive integer,
2100 is the lcm of 35, 60 and 75,
{3, 5} in {5 x 7, 2 x 2 x 3 x 5, 3 x 5 x 5} are the most repeated factors of 35, 60 and 75,
{7, 2, 2, 5} in {5 x 7, 2 x 2 x 3 x 5, 3 x 5 x 5} are the the other remaining factors of 35, 60 and 75.
Use in Mathematics: LCM of 35, 60 and 75
The below are some of the mathematical applications where lcm of 35, 60 and 75 can be used:
- to find the least number which is exactly divisible by 35, 60 and 75.
- to find the common denominators for the fractions having 35, 60 and 75 as denominators in the unlike fractions addition or subtraction.
Use in Real-world Problems: 35, 60 and 75 lcm
In the context of lcm real world problems, the lcm of 35, 60 and 75 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 35 seconds, B tolls at 60 seconds and C tolls at 75 seconds repeatedly. The answer is that all bells A, B and C toll together at 2100 seconds for the first time, at 4200 seconds for the second time, at 6300 seconds for the third time and so on.
Important Notes: 35, 60 and 75 lcm
The below are the important notes to be remembered while solving the lcm of 35, 60 and 75:
- The repeated and non-repeated prime factors of 35, 60 and 75 should be multiplied to find the least common multiple of 35, 60 and 75, when solving lcm by using prime factors method.
- The results of lcm of 35, 60 and 75 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.