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