Least Common Multiple of 6947/604, 2421/7792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6947/604, 2421/7792 quickly i.e. 16818687/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6947/604, 2421/7792 is 16818687/4.

LCM(6947/604, 2421/7792) = 16818687/4

LCM of 6947/604, 2421/7792

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 6947/604,2421/7792

Given numbers are 6947/604,2421/7792

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 6947,2421

Least Common Multiple of Numerators i.e. LCM of 6947,2421 is 16818687.

GCF of Denominators means GCF of 604,7792 as per the given fractions.

GCF of 604,7792 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6947,2421

LCM of Fractions 6947/604,2421/7792 is 16818687/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 16818687

Least Common Multiple of 6947,2421 with GCF Formula

Least Common Multiple of 6947,2421 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 6947,2421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6947,2421) = 1

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

GCF(6947,2421) x common factors =1 x 1 = 1

LCM(6947,2421) = ( 6947 × 2421 ) / 1

LCM(6947,2421) = 16818687 / 1

LCM(6947,2421) = 16818687


Lets's calculate GCF of 604,7792

2 604, 7792
2 302, 3896
151, 1948

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16818687/4

Therefore the LCM of Fractions 6947/604,2421/7792 is 16818687/4

Greatest Common Factor of 604,7792 By Matching Biggest Common Factor Method

Greatest Common Factor of 604,7792 By Matching Biggest Common Factor Method

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 7792

List of positive integer factors of 7792 that divides 7792 without a remainder.

1,2,4,8,16,487,974,1948,3896,7792

Greatest Common Factor

We found the factors 604,7792 . The biggest common factor number is the GCF number.
So the greatest common factor 604,7792 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 6947/604, 2421/7792

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 6947/604, 2421/7792?

Answer: LCM of Numerators as per given numbers 6947/604, 2421/7792 is

LCM of Numerators i.e. for 6947,2421 is 16818687

GCF of denominators i.e. for 604,7792 is 4.

Thus, LCM of Fractions is 16818687/4.Finally, LCM of Fractions for 6947/604, 2421/7792 is 16818687/4.