LCM of 22, 33 and 44 is equal to 132. The comprehensive work provides more insight of how to find what is the lcm of 22, 33 and 44 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 22, 33 and 44?
lcm (22 33 44) = (?)
22 => 2 x 11
33 => 3 x 11
44 => 2 x 2 x 11
= 2 x 11 x 3 x 2
= 132
lcm (22, 33 and 44) = 132
132 is the lcm of 22, 33 and 44.
where,
22 is a positive integer,
33 is a positive integer,
132 is the lcm of 22, 33 and 44,
{2, 11} in {2 x 11, 3 x 11, 2 x 2 x 11} are the most repeated factors of 22, 33 and 44,
{3, 2} in {2 x 11, 3 x 11, 2 x 2 x 11} are the the other remaining factors of 22, 33 and 44.
Use in Mathematics: LCM of 22, 33 and 44
The below are some of the mathematical applications where lcm of 22, 33 and 44 can be used:
- to find the least number which is exactly divisible by 22, 33 and 44.
- to find the common denominators for the fractions having 22, 33 and 44 as denominators in the unlike fractions addition or subtraction.
Use in Real-world Problems: 22, 33 and 44 lcm
In the context of lcm real world problems, the lcm of 22, 33 and 44 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 22 seconds, B tolls at 33 seconds and C tolls at 44 seconds repeatedly. The answer is that all bells A, B and C toll together at 132 seconds for the first time, at 264 seconds for the second time, at 396 seconds for the third time and so on.
Important Notes: 22, 33 and 44 lcm
The below are the important notes to be remembered while solving the lcm of 22, 33 and 44:
- The repeated and non-repeated prime factors of 22, 33 and 44 should be multiplied to find the least common multiple of 22, 33 and 44, when solving lcm by using prime factors method.
- The results of lcm of 22, 33 and 44 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.