LCM of 33 and 121 is equal to 363. The comprehensive work provides more insight of how to find what is the lcm of 33 and 121 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 33 and 121?
lcm (33 121) = (?)
33 => 3 x 11
121 => 11 x 11
= 11 x 3 x 11
= 363
lcm (33 and 121) = 363
363 is the lcm of 33 and 121.
where,
33 is a positive integer,
121 is a positive integer,
363 is the lcm of 33 and 121,
{11} in {3 x 11, 11 x 11} is the common factors of 33 and 121,
{3 x 11} in {3 x 11, 11 x 11} are the uncommon factors of 33 and 121.
Use in Mathematics: LCM of 33 and 121
The below are some of the mathematical applications where lcm of 33 and 121 can be used:
The below solved example with step by step work shows how to find what is the lcm of 33 and 121 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 33 and 121?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 33
B = 121
What to be found:
find the lcm of 33 and 121
step 2 Find the prime factors of 33 and 121:
Prime factors of 33 = 3 x 11
Prime factors of 121 = 11 x 11
step 3 Identify the repeated and non-repeated prime factors of 33 and 121:
{11} is the most repeated factor and {3 x 11} are the non-repeated factors of 33 and 121.
step 4 Find the product of repeated and non-repeated prime factors of 33 and 121:
= 11 x 3 x 11
= 363
lcm(33 and 121) = 363
Hence,
lcm of 33 and 121 is 363
3 | 33 | 121 |
11 | 11 | 121 |
11 | 1 | 11 |
1 | 1 |