LCM of 20, 36 and 38 is equal to 3420. The comprehensive work provides more insight of how to find what is the lcm of 20, 36 and 38 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 20, 36 and 38?
lcm (20 36 38) = (?)
20 => 2 x 2 x 5
36 => 2 x 2 x 3 x 3
38 => 2 x 19
= 2 x 2 x 5 x 3 x 3 x 19
= 3420
lcm (20, 36 and 38) = 3420
3420 is the lcm of 20, 36 and 38.
where,
20 is a positive integer,
36 is a positive integer,
3420 is the lcm of 20, 36 and 38,
{2, 2} in {2 x 2 x 5, 2 x 2 x 3 x 3, 2 x 19} are the most repeated factors of 20, 36 and 38,
{5, 3, 3, 19} in {2 x 2 x 5, 2 x 2 x 3 x 3, 2 x 19} are the the other remaining factors of 20, 36 and 38.
Use in Mathematics: LCM of 20, 36 and 38
The below are some of the mathematical applications where lcm of 20, 36 and 38 can be used:
The below solved example with step by step work shows how to find what is the lcm of 20, 36 and 38 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 20, 36 and 38?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 20
B = 36
C = 38
What to be found:
find the lcm of 20, 36 and 38
step 2 Find the prime factors of 20, 36 and 38:
Prime factors of 20 = 2 x 2 x 5
Prime factors of 36 = 2 x 2 x 3 x 3
Prime factors of 38 = 2 x 19
step 3 Identify the repeated and non-repeated prime factors of 20, 36 and 38:
{2, 2} are the most repeated factors and {5, 3, 3, 19} are the non-repeated factors of 20, 36 and 38.
step 4 Find the product of repeated and non-repeated prime factors of 20, 36 and 38:
= 2 x 2 x 5 x 3 x 3 x 19
= 3420
lcm(20 and 30) = 3420
Hence,
lcm of 20, 36 and 38 is 3420
2 | 20 | 36 | 38 |
2 | 10 | 18 | 19 |
3 | 5 | 9 | 19 |
3 | 5 | 3 | 19 |
5 | 5 | 1 | 19 |
19 | 1 | 1 | 19 |
1 | 1 | 1 |