Least Common Multiple of 486/297, 429/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 486/297, 429/684 quickly i.e. 7722 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 486/297, 429/684 is 7722.

LCM(486/297, 429/684) = 7722

LCM of 486/297, 429/684

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 486/297,429/684

Given numbers are 486/297,429/684

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 486,429

Least Common Multiple of Numerators i.e. LCM of 486,429 is 69498.

GCF of Denominators means GCF of 297,684 as per the given fractions.

GCF of 297,684 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 486,429

LCM of Fractions 486/297,429/684 is 7722

3 486, 429
162, 143

∴ So the LCM of the given numbers is 3 x 162 x 143 = 69498

Least Common Multiple of 486,429 with GCF Formula

Least Common Multiple of 486,429 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 486,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,429) = 3

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

GCF(486,429) x common factors =3 x 1 = 3

LCM(486,429) = ( 486 × 429 ) / 3

LCM(486,429) = 208494 / 3

LCM(486,429) = 69498


Lets's calculate GCF of 297,684

3 297, 684
3 99, 228
33, 76

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69498/9

Therefore the LCM of Fractions 486/297,429/684 is 7722

Greatest Common Factor of 297,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,684 By Matching Biggest Common Factor Method

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 297,684 . The biggest common factor number is the GCF number.
So the greatest common factor 297,684 is 9.


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 486/297, 429/684

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 486/297, 429/684?

Answer: LCM of Numerators as per given numbers 486/297, 429/684 is

LCM of Numerators i.e. for 486,429 is 69498

GCF of denominators i.e. for 297,684 is 9.

Thus, LCM of Fractions is 7722.Finally, LCM of Fractions for 486/297, 429/684 is 7722.