Least Common Multiple of 302/868, 9708/7076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 302/868, 9708/7076 quickly i.e. 366477 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 302/868, 9708/7076 is 366477.

LCM(302/868, 9708/7076) = 366477

LCM of 302/868, 9708/7076

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 302/868,9708/7076

Given numbers are 302/868,9708/7076

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 302,9708

Least Common Multiple of Numerators i.e. LCM of 302,9708 is 1465908.

GCF of Denominators means GCF of 868,7076 as per the given fractions.

GCF of 868,7076 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 302,9708

LCM of Fractions 302/868,9708/7076 is 366477

2 302, 9708
151, 4854

∴ So the LCM of the given numbers is 2 x 151 x 4854 = 1465908

Least Common Multiple of 302,9708 with GCF Formula

Least Common Multiple of 302,9708 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 302,9708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(302,9708) = 2

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

GCF(302,9708) x common factors =2 x 1 = 2

LCM(302,9708) = ( 302 × 9708 ) / 2

LCM(302,9708) = 2931816 / 2

LCM(302,9708) = 1465908


Lets's calculate GCF of 868,7076

2 868, 7076
2 434, 3538
217, 1769

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1465908/4

Therefore the LCM of Fractions 302/868,9708/7076 is 366477

Greatest Common Factor of 868,7076 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,7076 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 7076

List of positive integer factors of 7076 that divides 7076 without a remainder.

1,2,4,29,58,61,116,122,244,1769,3538,7076

Greatest Common Factor

We found the factors 868,7076 . The biggest common factor number is the GCF number.
So the greatest common factor 868,7076 is 4.


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 302/868, 9708/7076

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 302/868, 9708/7076?

Answer: LCM of Numerators as per given numbers 302/868, 9708/7076 is

LCM of Numerators i.e. for 302,9708 is 1465908

GCF of denominators i.e. for 868,7076 is 4.

Thus, LCM of Fractions is 366477.Finally, LCM of Fractions for 302/868, 9708/7076 is 366477.