Least Common Multiple of 6963/10, 6680/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6963/10, 6680/415 quickly i.e. 9302568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6963/10, 6680/415 is 9302568.

LCM(6963/10, 6680/415) = 9302568

LCM of 6963/10, 6680/415

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 6963/10,6680/415

Given numbers are 6963/10,6680/415

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 6963,6680

Least Common Multiple of Numerators i.e. LCM of 6963,6680 is 46512840.

GCF of Denominators means GCF of 10,415 as per the given fractions.

GCF of 10,415 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6963,6680

LCM of Fractions 6963/10,6680/415 is 9302568

Given numbers has no common factors except 1. So, there LCM is their product i.e 46512840

Least Common Multiple of 6963,6680 with GCF Formula

Least Common Multiple of 6963,6680 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 6963,6680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6963,6680) = 1

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

GCF(6963,6680) x common factors =1 x 1 = 1

LCM(6963,6680) = ( 6963 × 6680 ) / 1

LCM(6963,6680) = 46512840 / 1

LCM(6963,6680) = 46512840


Lets's calculate GCF of 10,415

5 10, 415
2, 83

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46512840/5

Therefore the LCM of Fractions 6963/10,6680/415 is 9302568

Greatest Common Factor of 10,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,415 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 10,415 . The biggest common factor number is the GCF number.
So the greatest common factor 10,415 is 5.


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 6963/10, 6680/415

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 6963/10, 6680/415?

Answer: LCM of Numerators as per given numbers 6963/10, 6680/415 is

LCM of Numerators i.e. for 6963,6680 is 46512840

GCF of denominators i.e. for 10,415 is 5.

Thus, LCM of Fractions is 9302568.Finally, LCM of Fractions for 6963/10, 6680/415 is 9302568.