Least Common Multiple of 6, 14, 584

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 6, 14, 584 i.e. 12264 smallest integer divisible by all numbers.

Least common multiple (LCM) of 6, 14, 584 is 12264.

LCM(6, 14, 584) = 12264

LCM of 6, 14, 584

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

LCM of:

Least Common Multiple of 6,14,584

Least Common Multiple (LCM) of 6,14,584 is 12264

2 6, 14, 584
3, 7, 292

∴ So the LCM of the given numbers is 2 x 3 x 7 x 292 = 12264

Least Common Multiple of 6,14,584 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 6,14,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,14,584) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(6,14,584) x common factors =2 x 2 = 4

LCM(6,14,584) = ( 6 × 14 × 584 ) / 4

LCM(6,14,584) = 49056 / 4

LCM(6,14,584) = 12264

∴ Least Common Multiple of 6,14,584 is 12264

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 6, 14, 584

1. What is the LCM of 6, 14, 584?

Answer: LCM of 6, 14, 584 is 12264.

2. What are the Factors of 12264?

Answer: Factors of 12264 are . There are integers that are factors of 12264

3. How to Find the LCM of 6, 14, 584 ?

Least Common Multiple of 6, 14, 584.

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(6, 14, 584) = 2 x 2 x 2 x 3 x 7 x 73 = 12264.