Least Common Multiple of 16, 38, 54, 324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 16, 38, 54, 324 i.e. 24624 smallest integer divisible by all numbers.

Least common multiple (LCM) of 16, 38, 54, 324 is 24624.

LCM(16, 38, 54, 324) = 24624

LCM of 16, 38, 54, 324

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 16,38,54,324

Least Common Multiple (LCM) of 16,38,54,324 is 24624

2 16, 38, 54, 324
2 8, 19, 27, 162
3 4, 19, 27, 81
3 4, 19, 9, 27
3 4, 19, 3, 9
4, 19, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 4 x 19 x 1 x 3 = 24624

Least Common Multiple of 16,38,54,324 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 16,38,54,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,38,54,324) = 2

common factors(in case of two or more numbers have common factors) = 216

GCF(16,38,54,324) x common factors =2 x 216 = 432

LCM(16,38,54,324) = ( 16 × 38 × 54 × 324 ) / 432

LCM(16,38,54,324) = 10637568 / 432

LCM(16,38,54,324) = 24624

∴ Least Common Multiple of 16,38,54,324 is 24624

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 16, 38, 54, 324

1. What is the LCM of 16, 38, 54, 324?

Answer: LCM of 16, 38, 54, 324 is 24624.

2. What are the Factors of 24624?

Answer: Factors of 24624 are . There are integers that are factors of 24624

3. How to Find the LCM of 16, 38, 54, 324 ?

Least Common Multiple of 16, 38, 54, 324.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(16, 38, 54, 324) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 19 = 24624.