Least Common Multiple of 84, 76, 40, 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 84, 76, 40, 322 i.e. 367080 smallest integer divisible by all numbers.

Least common multiple (LCM) of 84, 76, 40, 322 is 367080.

LCM(84, 76, 40, 322) = 367080

LCM of 84, 76, 40, 322

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

LCM of:

Least Common Multiple of 84,76,40,322

Least Common Multiple (LCM) of 84,76,40,322 is 367080

2 84, 76, 40, 322
2 42, 38, 20, 161
7 21, 19, 10, 161
3, 19, 10, 23

∴ So the LCM of the given numbers is 2 x 2 x 7 x 3 x 19 x 10 x 23 = 367080

Least Common Multiple of 84,76,40,322 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 84,76,40,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,76,40,322) = 2

common factors(in case of two or more numbers have common factors) = 112

GCF(84,76,40,322) x common factors =2 x 112 = 224

LCM(84,76,40,322) = ( 84 × 76 × 40 × 322 ) / 224

LCM(84,76,40,322) = 82225920 / 224

LCM(84,76,40,322) = 367080

∴ Least Common Multiple of 84,76,40,322 is 367080

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 84, 76, 40, 322

1. What is the LCM of 84, 76, 40, 322?

Answer: LCM of 84, 76, 40, 322 is 367080.

2. What are the Factors of 367080?

Answer: Factors of 367080 are . There are integers that are factors of 367080

3. How to Find the LCM of 84, 76, 40, 322 ?

Least Common Multiple of 84, 76, 40, 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(84, 76, 40, 322) = 2 x 2 x 2 x 3 x 5 x 7 x 19 x 23 = 367080.