LCM of 14, 28 and 91 is equal to 364. The comprehensive work provides more insight of how to find what is the lcm of 14, 28 and 91 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 14, 28 and 91?
lcm (14 28 91) = (?)
14 => 2 x 7
28 => 2 x 2 x 7
91 => 7 x 13
= 2 x 7 x 2 x 13
= 364
lcm (14, 28 and 91) = 364
364 is the lcm of 14, 28 and 91.
where,
14 is a positive integer,
28 is a positive integer,
364 is the lcm of 14, 28 and 91,
{2, 7} in {2 x 7, 2 x 2 x 7, 7 x 13} are the most repeated factors of 14, 28 and 91,
{2, 13} in {2 x 7, 2 x 2 x 7, 7 x 13} are the the other remaining factors of 14, 28 and 91.
Use in Mathematics: LCM of 14, 28 and 91
The below are some of the mathematical applications where lcm of 14, 28 and 91 can be used:
- to find the least number which is exactly divisible by 14, 28 and 91.
- to find the common denominators for the fractions having 14, 28 and 91 as denominators in the unlike fractions addition or subtraction.
Use in Real-world Problems: 14, 28 and 91 lcm
In the context of lcm real world problems, the lcm of 14, 28 and 91 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 14 seconds, B tolls at 28 seconds and C tolls at 91 seconds repeatedly. The answer is that all bells A, B and C toll together at 364 seconds for the first time, at 728 seconds for the second time, at 1092 seconds for the third time and so on.
Important Notes: 14, 28 and 91 lcm
The below are the important notes to be remembered while solving the lcm of 14, 28 and 91:
- The repeated and non-repeated prime factors of 14, 28 and 91 should be multiplied to find the least common multiple of 14, 28 and 91, when solving lcm by using prime factors method.
- The results of lcm of 14, 28 and 91 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.