Least Common Multiple of 67, 76, 684

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 67, 76, 684 i.e. 45828 smallest integer divisible by all numbers.

Least common multiple (LCM) of 67, 76, 684 is 45828.

LCM(67, 76, 684) = 45828

LCM of 67, 76, 684

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

LCM of:

Least Common Multiple of 67,76,684

Least Common Multiple (LCM) of 67,76,684 is 45828

2 67, 76, 684
2 67, 38, 342
19 67, 19, 171
67, 1, 9

∴ So the LCM of the given numbers is 2 x 2 x 19 x 67 x 1 x 9 = 45828

Least Common Multiple of 67,76,684 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 67,76,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,76,684) = 1

common factors(in case of two or more numbers have common factors) = 76

GCF(67,76,684) x common factors =1 x 76 = 76

LCM(67,76,684) = ( 67 × 76 × 684 ) / 76

LCM(67,76,684) = 3482928 / 76

LCM(67,76,684) = 45828

∴ Least Common Multiple of 67,76,684 is 45828

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 67, 76, 684

1. What is the LCM of 67, 76, 684?

Answer: LCM of 67, 76, 684 is 45828.

2. What are the Factors of 45828?

Answer: Factors of 45828 are . There are integers that are factors of 45828

3. How to Find the LCM of 67, 76, 684 ?

Least Common Multiple of 67, 76, 684.

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(67, 76, 684) = 2 x 2 x 3 x 3 x 19 x 67 = 45828.