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