Least Common Multiple of 318/336, 597/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 318/336, 597/676 quickly i.e. 63282/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 318/336, 597/676 is 63282/4.

LCM(318/336, 597/676) = 63282/4

LCM of 318/336, 597/676

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 318/336,597/676

Given numbers are 318/336,597/676

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 318,597

Least Common Multiple of Numerators i.e. LCM of 318,597 is 63282.

GCF of Denominators means GCF of 336,676 as per the given fractions.

GCF of 336,676 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 318,597

LCM of Fractions 318/336,597/676 is 63282/4

3 318, 597
106, 199

∴ So the LCM of the given numbers is 3 x 106 x 199 = 63282

Least Common Multiple of 318,597 with GCF Formula

Least Common Multiple of 318,597 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 318,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,597) = 3

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

GCF(318,597) x common factors =3 x 1 = 3

LCM(318,597) = ( 318 × 597 ) / 3

LCM(318,597) = 189846 / 3

LCM(318,597) = 63282


Lets's calculate GCF of 336,676

2 336, 676
2 168, 338
84, 169

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63282/4

Therefore the LCM of Fractions 318/336,597/676 is 63282/4

Greatest Common Factor of 336,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,676 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 336,676 . The biggest common factor number is the GCF number.
So the greatest common factor 336,676 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 318/336, 597/676

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 318/336, 597/676?

Answer: LCM of Numerators as per given numbers 318/336, 597/676 is

LCM of Numerators i.e. for 318,597 is 63282

GCF of denominators i.e. for 336,676 is 4.

Thus, LCM of Fractions is 63282/4.Finally, LCM of Fractions for 318/336, 597/676 is 63282/4.