LCM of 28, 72 and 98 is equal to 3528. The comprehensive work provides more insight of how to find what is the lcm of 28, 72 and 98 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 28, 72 and 98?
lcm (28 72 98) = (?)
28 => 2 x 2 x 7
72 => 2 x 2 x 2 x 3 x 3
98 => 2 x 7 x 7
= 2 x 2 x 7 x 2 x 3 x 3 x 7
= 3528
lcm (28, 72 and 98) = 3528
3528 is the lcm of 28, 72 and 98.
where,
28 is a positive integer,
72 is a positive integer,
3528 is the lcm of 28, 72 and 98,
{2, 2, 7} in {2 x 2 x 7, 2 x 2 x 2 x 3 x 3, 2 x 7 x 7} are the most repeated factors of 28, 72 and 98,
{2, 3, 3, 7} in {2 x 2 x 7, 2 x 2 x 2 x 3 x 3, 2 x 7 x 7} are the the other remaining factors of 28, 72 and 98.
Use in Mathematics: LCM of 28, 72 and 98
The below are some of the mathematical applications where lcm of 28, 72 and 98 can be used:
- to find the least number which is exactly divisible by 28, 72 and 98.
- to find the common denominators for the fractions having 28, 72 and 98 as denominators in the unlike fractions addition or subtraction.
Use in Real-world Problems: 28, 72 and 98 lcm
In the context of lcm real world problems, the lcm of 28, 72 and 98 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 28 seconds, B tolls at 72 seconds and C tolls at 98 seconds repeatedly. The answer is that all bells A, B and C toll together at 3528 seconds for the first time, at 7056 seconds for the second time, at 10584 seconds for the third time and so on.
Important Notes: 28, 72 and 98 lcm
The below are the important notes to be remembered while solving the lcm of 28, 72 and 98:
- The repeated and non-repeated prime factors of 28, 72 and 98 should be multiplied to find the least common multiple of 28, 72 and 98, when solving lcm by using prime factors method.
- The results of lcm of 28, 72 and 98 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.