Least Common Multiple of 316/429, 6679/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 316/429, 6679/564 quickly i.e. 2110564/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 316/429, 6679/564 is 2110564/3.

LCM(316/429, 6679/564) = 2110564/3

LCM of 316/429, 6679/564

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 316/429,6679/564

Given numbers are 316/429,6679/564

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 316,6679

Least Common Multiple of Numerators i.e. LCM of 316,6679 is 2110564.

GCF of Denominators means GCF of 429,564 as per the given fractions.

GCF of 429,564 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 316,6679

LCM of Fractions 316/429,6679/564 is 2110564/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 2110564

Least Common Multiple of 316,6679 with GCF Formula

Least Common Multiple of 316,6679 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 316,6679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(316,6679) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(316,6679) x common factors =1 x 1 = 1

LCM(316,6679) = ( 316 × 6679 ) / 1

LCM(316,6679) = 2110564 / 1

LCM(316,6679) = 2110564


Lets's calculate GCF of 429,564

3 429, 564
143, 188

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2110564/3

Therefore the LCM of Fractions 316/429,6679/564 is 2110564/3

Greatest Common Factor of 429,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,564 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 429,564 . The biggest common factor number is the GCF number.
So the greatest common factor 429,564 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 316/429, 6679/564

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 316/429, 6679/564?

Answer: LCM of Numerators as per given numbers 316/429, 6679/564 is

LCM of Numerators i.e. for 316,6679 is 2110564

GCF of denominators i.e. for 429,564 is 3.

Thus, LCM of Fractions is 2110564/3.Finally, LCM of Fractions for 316/429, 6679/564 is 2110564/3.