LCM of 10, 14 and 49 is equal to 490. The comprehensive work provides more insight of how to find what is the lcm of 10, 14 and 49 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 10, 14 and 49?
lcm (10 14 49) = (?)
10 => 2 x 5
14 => 2 x 7
49 => 7 x 7
= 2 x 7 x 5 x 7
= 490
lcm (10, 14 and 49) = 490
490 is the lcm of 10, 14 and 49.
where,
10 is a positive integer,
14 is a positive integer,
490 is the lcm of 10, 14 and 49,
{2, 7} in {2 x 5, 2 x 7, 7 x 7} are the most repeated factors of 10, 14 and 49,
{5, 7} in {2 x 5, 2 x 7, 7 x 7} are the the other remaining factors of 10, 14 and 49.
Use in Mathematics: LCM of 10, 14 and 49
The below are some of the mathematical applications where lcm of 10, 14 and 49 can be used:
- to find the least number which is exactly divisible by 10, 14 and 49.
- to find the common denominators for the fractions having 10, 14 and 49 as denominators in the unlike fractions addition or subtraction.
Use in Real-world Problems: 10, 14 and 49 lcm
In the context of lcm real world problems, the lcm of 10, 14 and 49 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 10 seconds, B tolls at 14 seconds and C tolls at 49 seconds repeatedly. The answer is that all bells A, B and C toll together at 490 seconds for the first time, at 980 seconds for the second time, at 1470 seconds for the third time and so on.
Important Notes: 10, 14 and 49 lcm
The below are the important notes to be remembered while solving the lcm of 10, 14 and 49:
- The repeated and non-repeated prime factors of 10, 14 and 49 should be multiplied to find the least common multiple of 10, 14 and 49, when solving lcm by using prime factors method.
- The results of lcm of 10, 14 and 49 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.