Least Common Multiple of 42, 784, 322

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 42, 784, 322 i.e. 54096 smallest integer divisible by all numbers.

Least common multiple (LCM) of 42, 784, 322 is 54096.

LCM(42, 784, 322) = 54096

LCM of 42, 784, 322

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

LCM of:

Least Common Multiple of 42,784,322

Least Common Multiple (LCM) of 42,784,322 is 54096

2 42, 784, 322
7 21, 392, 161
3, 56, 23

∴ So the LCM of the given numbers is 2 x 7 x 3 x 56 x 23 = 54096

Least Common Multiple of 42,784,322 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 42,784,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,784,322) = 14

common factors(in case of two or more numbers have common factors) = 14

GCF(42,784,322) x common factors =14 x 14 = 196

LCM(42,784,322) = ( 42 × 784 × 322 ) / 196

LCM(42,784,322) = 10602816 / 196

LCM(42,784,322) = 54096

∴ Least Common Multiple of 42,784,322 is 54096

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 42, 784, 322

1. What is the LCM of 42, 784, 322?

Answer: LCM of 42, 784, 322 is 54096.

2. What are the Factors of 54096?

Answer: Factors of 54096 are . There are integers that are factors of 54096

3. How to Find the LCM of 42, 784, 322 ?

Least Common Multiple of 42, 784, 322.

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(42, 784, 322) = 2 x 2 x 2 x 2 x 3 x 7 x 7 x 23 = 54096.