LCM of 10 and 11 is equal to 110. The comprehensive work provides more insight of how to find what is the lcm of 10 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 10 and 11?
lcm (10 11) = (?)
10 => 2 x 5
11 => 11
= 2 x 5 x 11
= 110
lcm (10 and 11) = 110
110 is the lcm of 10 and 11.
where,
10 is a positive integer,
11 is a positive integer,
110 is the lcm of 10 and 11,
There is no common factors of 10 and 11 in {2 x 5, 11},
{2 x 5 x 11} in {2 x 5, 11} are the uncommon factors of 10 and 11.
Use in Mathematics: LCM of 10 and 11
The below are some of the mathematical applications where lcm of 10 and 11 can be used:
The below solved example with step by step work shows how to find what is the lcm of 10 and 11 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 10 and 11?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 10
B = 11
What to be found:
find the lcm of 10 and 11
step 2 Find the prime factors of 10 and 11:
Prime factors of 10 = 2 x 5
Prime factors of 11 = 11
step 3Identify the repeated and non-repeated prime factors of 10 and 11:
Since there is no common factors between 10 and 11, multiplying the given numbers directly provides the LCM of
10 and 11.
= 10 x 11
= 110
lcm(10 and 11) = 110
Hence,
lcm of 10 and 11 is 110
2 | 10 | 11 |
5 | 5 | 11 |
11 | 1 | 11 |
1 | 1 |