LCM of 23, 78 and 92 is equal to 3588. The comprehensive work provides more insight of how to find what is the lcm of 23, 78 and 92 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 23, 78 and 92?
lcm (23 78 92) = (?)
23 => 23
78 => 2 x 3 x 13
92 => 2 x 2 x 23
= 2 x 23 x 3 x 13 x 2
= 3588
lcm (23, 78 and 92) = 3588
3588 is the lcm of 23, 78 and 92.
where,
23 is a positive integer,
78 is a positive integer,
3588 is the lcm of 23, 78 and 92,
{2, 23} in {23, 2 x 3 x 13, 2 x 2 x 23} are the most repeated factors of 23, 78 and 92,
{3, 13, 2} in {23, 2 x 3 x 13, 2 x 2 x 23} are the the other remaining factors of 23, 78 and 92.
Use in Mathematics: LCM of 23, 78 and 92
The below are some of the mathematical applications where lcm of 23, 78 and 92 can be used:
The below solved example with step by step work shows how to find what is the lcm of 23, 78 and 92 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 23, 78 and 92?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 23
B = 78
C = 92
What to be found:
find the lcm of 23, 78 and 92
step 2 Find the prime factors of 23, 78 and 92:
Prime factors of 23 = 23
Prime factors of 78 = 2 x 3 x 13
Prime factors of 92 = 2 x 2 x 23
step 3 Identify the repeated and non-repeated prime factors of 23, 78 and 92:
{2, 23} are the most repeated factors and {3, 13, 2} are the non-repeated factors of 23, 78 and 92.
step 4 Find the product of repeated and non-repeated prime factors of 23, 78 and 92:
= 2 x 23 x 3 x 13 x 2
= 3588
lcm(20 and 30) = 3588
Hence,
lcm of 23, 78 and 92 is 3588
2 | 23 | 78 | 92 |
2 | 23 | 39 | 46 |
3 | 23 | 39 | 23 |
13 | 23 | 13 | 23 |
23 | 23 | 1 | 23 |
1 | 1 | 1 |