LCM of 22, 45 and 50 is equal to 4950. The comprehensive work provides more insight of how to find what is the lcm of 22, 45 and 50 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, 45 and 50?
lcm (22 45 50) = (?)
22 => 2 x 11
45 => 3 x 3 x 5
50 => 2 x 5 x 5
= 2 x 5 x 11 x 3 x 3 x 5
= 4950
lcm (22, 45 and 50) = 4950
4950 is the lcm of 22, 45 and 50.
where,
22 is a positive integer,
45 is a positive integer,
4950 is the lcm of 22, 45 and 50,
{2, 5} in {2 x 11, 3 x 3 x 5, 2 x 5 x 5} are the most repeated factors of 22, 45 and 50,
{11, 3, 3, 5} in {2 x 11, 3 x 3 x 5, 2 x 5 x 5} are the the other remaining factors of 22, 45 and 50.
Use in Mathematics: LCM of 22, 45 and 50
The below are some of the mathematical applications where lcm of 22, 45 and 50 can be used:
The below solved example with step by step work shows how to find what is the lcm of 22, 45 and 50 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 22, 45 and 50?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 22
B = 45
C = 50
What to be found:
find the lcm of 22, 45 and 50
step 2 Find the prime factors of 22, 45 and 50:
Prime factors of 22 = 2 x 11
Prime factors of 45 = 3 x 3 x 5
Prime factors of 50 = 2 x 5 x 5
step 3 Identify the repeated and non-repeated prime factors of 22, 45 and 50:
{2, 5} are the most repeated factors and {11, 3, 3, 5} are the non-repeated factors of 22, 45 and 50.
step 4 Find the product of repeated and non-repeated prime factors of 22, 45 and 50:
= 2 x 5 x 11 x 3 x 3 x 5
= 4950
lcm(20 and 30) = 4950
Hence,
lcm of 22, 45 and 50 is 4950
2 | 22 | 45 | 50 |
3 | 11 | 45 | 25 |
3 | 11 | 15 | 25 |
5 | 11 | 5 | 25 |
5 | 11 | 1 | 5 |
11 | 11 | 1 | 1 |
1 | 1 | 1 |