LCM of 21, 33 and 55 is equal to 1155. The comprehensive work provides more insight of how to find what is the lcm of 21, 33 and 55 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 21, 33 and 55?
lcm (21 33 55) = (?)
21 => 3 x 7
33 => 3 x 11
55 => 5 x 11
= 3 x 11 x 7 x 5
= 1155
lcm (21, 33 and 55) = 1155
1155 is the lcm of 21, 33 and 55.
where,
21 is a positive integer,
33 is a positive integer,
1155 is the lcm of 21, 33 and 55,
{3, 11} in {3 x 7, 3 x 11, 5 x 11} are the most repeated factors of 21, 33 and 55,
{7, 5} in {3 x 7, 3 x 11, 5 x 11} are the the other remaining factors of 21, 33 and 55.
Use in Mathematics: LCM of 21, 33 and 55
The below are some of the mathematical applications where lcm of 21, 33 and 55 can be used:
The below solved example with step by step work shows how to find what is the lcm of 21, 33 and 55 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 21, 33 and 55?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 21
B = 33
C = 55
What to be found:
find the lcm of 21, 33 and 55
step 2 Find the prime factors of 21, 33 and 55:
Prime factors of 21 = 3 x 7
Prime factors of 33 = 3 x 11
Prime factors of 55 = 5 x 11
step 3 Identify the repeated and non-repeated prime factors of 21, 33 and 55:
{3, 11} are the most repeated factors and {7, 5} are the non-repeated factors of 21, 33 and 55.
step 4 Find the product of repeated and non-repeated prime factors of 21, 33 and 55:
= 3 x 11 x 7 x 5
= 1155
lcm(20 and 30) = 1155
Hence,
lcm of 21, 33 and 55 is 1155
3 | 21 | 33 | 55 |
5 | 7 | 11 | 55 |
7 | 7 | 11 | 11 |
11 | 1 | 11 | 11 |
1 | 1 | 1 |