Least Common Multiple of 54, 81, 964

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 54, 81, 964 i.e. 78084 smallest integer divisible by all numbers.

Least common multiple (LCM) of 54, 81, 964 is 78084.

LCM(54, 81, 964) = 78084

LCM of 54, 81, 964

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

LCM of:

Least Common Multiple of 54,81,964

Least Common Multiple (LCM) of 54,81,964 is 78084

2 54, 81, 964
3 27, 81, 482
3 9, 27, 482
3 3, 9, 482
1, 3, 482

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 3 x 482 = 78084

Least Common Multiple of 54,81,964 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 54,81,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,81,964) = 1

common factors(in case of two or more numbers have common factors) = 54

GCF(54,81,964) x common factors =1 x 54 = 54

LCM(54,81,964) = ( 54 × 81 × 964 ) / 54

LCM(54,81,964) = 4216536 / 54

LCM(54,81,964) = 78084

∴ Least Common Multiple of 54,81,964 is 78084

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 54, 81, 964

1. What is the LCM of 54, 81, 964?

Answer: LCM of 54, 81, 964 is 78084.

2. What are the Factors of 78084?

Answer: Factors of 78084 are . There are integers that are factors of 78084

3. How to Find the LCM of 54, 81, 964 ?

Least Common Multiple of 54, 81, 964.

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(54, 81, 964) = 2 x 2 x 3 x 3 x 3 x 3 x 241 = 78084.