LCM of 9, 28 and 60 is equal to 1260. The comprehensive work provides more insight of how to find what is the lcm of 9, 28 and 60 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 9, 28 and 60?
lcm (9 28 60) = (?)
9 => 3 x 3
28 => 2 x 2 x 7
60 => 2 x 2 x 3 x 5
= 2 x 2 x 3 x 3 x 7 x 5
= 1260
lcm (9, 28 and 60) = 1260
1260 is the lcm of 9, 28 and 60.
where,
9 is a positive integer,
28 is a positive integer,
1260 is the lcm of 9, 28 and 60,
{2, 2, 3} in {3 x 3, 2 x 2 x 7, 2 x 2 x 3 x 5} are the most repeated factors of 9, 28 and 60,
{3, 7, 5} in {3 x 3, 2 x 2 x 7, 2 x 2 x 3 x 5} are the the other remaining factors of 9, 28 and 60.
Use in Mathematics: LCM of 9, 28 and 60
The below are some of the mathematical applications where lcm of 9, 28 and 60 can be used:
The below solved example with step by step work shows how to find what is the lcm of 9, 28 and 60 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 9, 28 and 60?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 9
B = 28
C = 60
What to be found:
find the lcm of 9, 28 and 60
step 2 Find the prime factors of 9, 28 and 60:
Prime factors of 9 = 3 x 3
Prime factors of 28 = 2 x 2 x 7
Prime factors of 60 = 2 x 2 x 3 x 5
step 3 Identify the repeated and non-repeated prime factors of 9, 28 and 60:
{2, 2, 3} are the most repeated factors and {3, 7, 5} are the non-repeated factors of 9, 28 and 60.
step 4 Find the product of repeated and non-repeated prime factors of 9, 28 and 60:
= 2 x 2 x 3 x 3 x 7 x 5
= 1260
lcm(20 and 30) = 1260
Hence,
lcm of 9, 28 and 60 is 1260
2 | 9 | 28 | 60 |
2 | 9 | 14 | 30 |
3 | 9 | 7 | 15 |
3 | 3 | 7 | 5 |
5 | 1 | 7 | 5 |
7 | 1 | 7 | 1 |
1 | 1 | 1 |