LCM of 51 and 85 is equal to 255. The comprehensive work provides more insight of how to find what is the lcm of 51 and 85 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 51 and 85?
lcm (51 85) = (?)
51 => 3 x 17
85 => 5 x 17
= 17 x 3 x 5
= 255
lcm (51 and 85) = 255
255 is the lcm of 51 and 85.
where,
51 is a positive integer,
85 is a positive integer,
255 is the lcm of 51 and 85,
{17} in {3 x 17, 5 x 17} is the common factors of 51 and 85,
{3 x 5} in {3 x 17, 5 x 17} are the uncommon factors of 51 and 85.
Use in Mathematics: LCM of 51 and 85
The below are some of the mathematical applications where lcm of 51 and 85 can be used:
The below solved example with step by step work shows how to find what is the lcm of 51 and 85 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 51 and 85?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 51
B = 85
What to be found:
find the lcm of 51 and 85
step 2 Find the prime factors of 51 and 85:
Prime factors of 51 = 3 x 17
Prime factors of 85 = 5 x 17
step 3 Identify the repeated and non-repeated prime factors of 51 and 85:
{17} is the most repeated factor and {3 x 5} are the non-repeated factors of 51 and 85.
step 4 Find the product of repeated and non-repeated prime factors of 51 and 85:
= 17 x 3 x 5
= 255
lcm(51 and 85) = 255
Hence,
lcm of 51 and 85 is 255
3 | 51 | 85 |
5 | 17 | 85 |
17 | 17 | 17 |
1 | 1 |