Least Common Multiple of 6720/712, 7634/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6720/712, 7634/103 quickly i.e. 25650240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6720/712, 7634/103 is 25650240.

LCM(6720/712, 7634/103) = 25650240

LCM of 6720/712, 7634/103

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 6720/712,7634/103

Given numbers are 6720/712,7634/103

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 6720,7634

Least Common Multiple of Numerators i.e. LCM of 6720,7634 is 25650240.

GCF of Denominators means GCF of 712,103 as per the given fractions.

GCF of 712,103 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6720,7634

LCM of Fractions 6720/712,7634/103 is 25650240

2 6720, 7634
3360, 3817

∴ So the LCM of the given numbers is 2 x 3360 x 3817 = 25650240

Least Common Multiple of 6720,7634 with GCF Formula

Least Common Multiple of 6720,7634 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 6720,7634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6720,7634) = 2

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

GCF(6720,7634) x common factors =2 x 1 = 2

LCM(6720,7634) = ( 6720 × 7634 ) / 2

LCM(6720,7634) = 51300480 / 2

LCM(6720,7634) = 25650240


Lets's calculate GCF of 712,103

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25650240/1

Therefore the LCM of Fractions 6720/712,7634/103 is 25650240

Greatest Common Factor of 712,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,103 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Greatest Common Factor

We found the factors 712,103 . The biggest common factor number is the GCF number.
So the greatest common factor 712,103 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6720/712, 7634/103

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 6720/712, 7634/103?

Answer: LCM of Numerators as per given numbers 6720/712, 7634/103 is

LCM of Numerators i.e. for 6720,7634 is 25650240

GCF of denominators i.e. for 712,103 is 1.

Thus, LCM of Fractions is 25650240.Finally, LCM of Fractions for 6720/712, 7634/103 is 25650240.