Least Common Multiple of 318/316, 5307/6642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 318/316, 5307/6642 quickly i.e. 281271 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 318/316, 5307/6642 is 281271.

LCM(318/316, 5307/6642) = 281271

LCM of 318/316, 5307/6642

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 318/316,5307/6642

Given numbers are 318/316,5307/6642

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 318,5307

Least Common Multiple of Numerators i.e. LCM of 318,5307 is 562542.

GCF of Denominators means GCF of 316,6642 as per the given fractions.

GCF of 316,6642 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 318,5307

LCM of Fractions 318/316,5307/6642 is 281271

3 318, 5307
106, 1769

∴ So the LCM of the given numbers is 3 x 106 x 1769 = 562542

Least Common Multiple of 318,5307 with GCF Formula

Least Common Multiple of 318,5307 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 318,5307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,5307) = 3

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

GCF(318,5307) x common factors =3 x 1 = 3

LCM(318,5307) = ( 318 × 5307 ) / 3

LCM(318,5307) = 1687626 / 3

LCM(318,5307) = 562542


Lets's calculate GCF of 316,6642

2 316, 6642
158, 3321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 562542/2

Therefore the LCM of Fractions 318/316,5307/6642 is 281271

Greatest Common Factor of 316,6642 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,6642 By Matching Biggest Common Factor Method

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 6642

List of positive integer factors of 6642 that divides 6642 without a remainder.

1,2,3,6,9,18,27,41,54,81,82,123,162,246,369,738,1107,2214,3321,6642

Greatest Common Factor

We found the factors 316,6642 . The biggest common factor number is the GCF number.
So the greatest common factor 316,6642 is 2.


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 318/316, 5307/6642

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 318/316, 5307/6642?

Answer: LCM of Numerators as per given numbers 318/316, 5307/6642 is

LCM of Numerators i.e. for 318,5307 is 562542

GCF of denominators i.e. for 316,6642 is 2.

Thus, LCM of Fractions is 281271.Finally, LCM of Fractions for 318/316, 5307/6642 is 281271.