LCM of 6 and 11 is equal to 66. The comprehensive work provides more insight of how to find what is the lcm of 6 and 11 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 6 and 11?
lcm (6 11) = (?)
6 => 2 x 3
11 => 11
= 2 x 3 x 11
= 66
lcm (6 and 11) = 66
66 is the lcm of 6 and 11.
where,
6 is a positive integer,
11 is a positive integer,
66 is the lcm of 6 and 11,
There is no common factors of 6 and 11 in {2 x 3, 11},
{2 x 3 x 11} in {2 x 3, 11} are the uncommon factors of 6 and 11.
Use in Mathematics: LCM of 6 and 11
The below are some of the mathematical applications where lcm of 6 and 11 can be used:
The below solved example with step by step work shows how to find what is the lcm of 6 and 11 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 6 and 11?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 6
B = 11
What to be found:
find the lcm of 6 and 11
step 2 Find the prime factors of 6 and 11:
Prime factors of 6 = 2 x 3
Prime factors of 11 = 11
step 3Identify the repeated and non-repeated prime factors of 6 and 11:
Since there is no common factors between 6 and 11, multiplying the given numbers directly provides the LCM of
6 and 11.
= 6 x 11
= 66
lcm(6 and 11) = 66
Hence,
lcm of 6 and 11 is 66
2 | 6 | 11 |
3 | 3 | 11 |
11 | 1 | 11 |
1 | 1 |