LCM of 148 and 168 is equal to 6216. The comprehensive work provides more insight of how to find what is the lcm of 148 and 168 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 148 and 168?
lcm (148 168) = (?)
148 => 2 x 2 x 37
168 => 2 x 2 x 2 x 3 x 7
= 2 x 2 x 37 x 2 x 3 x 7
= 6216
lcm (148 and 168) = 6216
6216 is the lcm of 148 and 168.
where,
148 is a positive integer,
168 is a positive integer,
6216 is the lcm of 148 and 168,
{2 x 2} in {2 x 2 x 37, 2 x 2 x 2 x 3 x 7} are the common factors of 148 and 168,
{37 x 2 x 3 x 7} in {2 x 2 x 37, 2 x 2 x 2 x 3 x 7} are the uncommon factors of 148 and 168.
Use in Mathematics: LCM of 148 and 168
The below are some of the mathematical applications where lcm of 148 and 168 can be used:
The below solved example with step by step work shows how to find what is the lcm of 148 and 168 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 148 and 168?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 148
B = 168
What to be found:
find the lcm of 148 and 168
step 2 Find the prime factors of 148 and 168:
Prime factors of 148 = 2 x 2 x 37
Prime factors of 168 = 2 x 2 x 2 x 3 x 7
step 3 Identify the repeated and non-repeated prime factors of 148 and 168:
{2, 2} are the most repeated factors and {37 x 2 x 3 x 7} are the non-repeated factors of 148 and 168.
step 4 Find the product of repeated and non-repeated prime factors of 148 and 168:
= 2 x 2 x 37 x 2 x 3 x 7
= 6216
lcm(148 and 168) = 6216
Hence,
lcm of 148 and 168 is 6216
2 | 148 | 168 |
2 | 74 | 84 |
2 | 37 | 42 |
3 | 37 | 21 |
7 | 37 | 7 |
37 | 37 | 1 |
1 | 1 |