Least Common Multiple of 6961/720, 9192/7076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6961/720, 9192/7076 quickly i.e. 15996378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6961/720, 9192/7076 is 15996378.

LCM(6961/720, 9192/7076) = 15996378

LCM of 6961/720, 9192/7076

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 6961/720,9192/7076

Given numbers are 6961/720,9192/7076

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 6961,9192

Least Common Multiple of Numerators i.e. LCM of 6961,9192 is 63985512.

GCF of Denominators means GCF of 720,7076 as per the given fractions.

GCF of 720,7076 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6961,9192

LCM of Fractions 6961/720,9192/7076 is 15996378

Given numbers has no common factors except 1. So, there LCM is their product i.e 63985512

Least Common Multiple of 6961,9192 with GCF Formula

Least Common Multiple of 6961,9192 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 6961,9192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6961,9192) = 1

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

GCF(6961,9192) x common factors =1 x 1 = 1

LCM(6961,9192) = ( 6961 × 9192 ) / 1

LCM(6961,9192) = 63985512 / 1

LCM(6961,9192) = 63985512


Lets's calculate GCF of 720,7076

2 720, 7076
2 360, 3538
180, 1769

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63985512/4

Therefore the LCM of Fractions 6961/720,9192/7076 is 15996378

Greatest Common Factor of 720,7076 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,7076 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

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 720,7076 . The biggest common factor number is the GCF number.
So the greatest common factor 720,7076 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 6961/720, 9192/7076

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 6961/720, 9192/7076?

Answer: LCM of Numerators as per given numbers 6961/720, 9192/7076 is

LCM of Numerators i.e. for 6961,9192 is 63985512

GCF of denominators i.e. for 720,7076 is 4.

Thus, LCM of Fractions is 15996378.Finally, LCM of Fractions for 6961/720, 9192/7076 is 15996378.