LCM of 8 and 7 is equal to 56. The comprehensive work provides more insight of how to find what is the lcm of 8 and 7 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 8 and 7?
lcm (8 7) = (?)
8 => 2 x 2 x 2
7 => 7
= 2 x 2 x 2 x 7
= 56
lcm (8 and 7) = 56
56 is the lcm of 8 and 7.
where,
8 is a positive integer,
7 is a positive integer,
56 is the lcm of 8 and 7,
There is no common factors of 8 and 7 in {2 x 2 x 2, 7},
{2 x 2 x 2 x 7} in {2 x 2 x 2, 7} are the uncommon factors of 8 and 7.
Use in Mathematics: LCM of 8 and 7
The below are some of the mathematical applications where lcm of 8 and 7 can be used:
The below solved example with step by step work shows how to find what is the lcm of 8 and 7 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 8 and 7?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 8
B = 7
What to be found:
find the lcm of 8 and 7
step 2 Find the prime factors of 8 and 7:
Prime factors of 8 = 2 x 2 x 2
Prime factors of 7 = 7
step 3Identify the repeated and non-repeated prime factors of 8 and 7:
Since there is no common factors between 8 and 7, multiplying the given numbers directly provides the LCM of
8 and 7.
= 8 x 7
= 56
lcm(8 and 7) = 56
Hence,
lcm of 8 and 7 is 56
2 | 8 | 7 |
2 | 4 | 7 |
2 | 2 | 7 |
7 | 1 | 7 |
1 | 1 |