LCM of 148 and 185 is equal to 740. The comprehensive work provides more insight of how to find what is the lcm of 148 and 185 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 185?
lcm (148 185) = (?)
148 => 2 x 2 x 37
185 => 5 x 37
= 37 x 2 x 2 x 5
= 740
lcm (148 and 185) = 740
740 is the lcm of 148 and 185.
where,
148 is a positive integer,
185 is a positive integer,
740 is the lcm of 148 and 185,
{37} in {2 x 2 x 37, 5 x 37} is the common factors of 148 and 185,
{2 x 2 x 5} in {2 x 2 x 37, 5 x 37} are the uncommon factors of 148 and 185.
Use in Mathematics: LCM of 148 and 185
The below are some of the mathematical applications where lcm of 148 and 185 can be used:
The below solved example with step by step work shows how to find what is the lcm of 148 and 185 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 148 and 185?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 148
B = 185
What to be found:
find the lcm of 148 and 185
step 2 Find the prime factors of 148 and 185:
Prime factors of 148 = 2 x 2 x 37
Prime factors of 185 = 5 x 37
step 3 Identify the repeated and non-repeated prime factors of 148 and 185:
{37} is the most repeated factor and {2 x 2 x 5} are the non-repeated factors of 148 and 185.
step 4 Find the product of repeated and non-repeated prime factors of 148 and 185:
= 37 x 2 x 2 x 5
= 740
lcm(148 and 185) = 740
Hence,
lcm of 148 and 185 is 740
2 | 148 | 185 |
2 | 74 | 185 |
5 | 37 | 185 |
37 | 37 | 37 |
1 | 1 |