Least Common Multiple of 9996/347, 6392/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9996/347, 6392/378 quickly i.e. 939624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9996/347, 6392/378 is 939624.

LCM(9996/347, 6392/378) = 939624

LCM of 9996/347, 6392/378

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 9996/347,6392/378

Given numbers are 9996/347,6392/378

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 9996,6392

Least Common Multiple of Numerators i.e. LCM of 9996,6392 is 939624.

GCF of Denominators means GCF of 347,378 as per the given fractions.

GCF of 347,378 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9996,6392

LCM of Fractions 9996/347,6392/378 is 939624

2 9996, 6392
2 4998, 3196
17 2499, 1598
147, 94

∴ So the LCM of the given numbers is 2 x 2 x 17 x 147 x 94 = 939624

Least Common Multiple of 9996,6392 with GCF Formula

Least Common Multiple of 9996,6392 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 9996,6392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9996,6392) = 68

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

GCF(9996,6392) x common factors =68 x 1 = 68

LCM(9996,6392) = ( 9996 × 6392 ) / 68

LCM(9996,6392) = 63894432 / 68

LCM(9996,6392) = 939624


Lets's calculate GCF of 347,378

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 939624/1

Therefore the LCM of Fractions 9996/347,6392/378 is 939624

Greatest Common Factor of 347,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 347,378 By Matching Biggest Common Factor Method

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 347,378 . The biggest common factor number is the GCF number.
So the greatest common factor 347,378 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9996/347, 6392/378

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 9996/347, 6392/378?

Answer: LCM of Numerators as per given numbers 9996/347, 6392/378 is

LCM of Numerators i.e. for 9996,6392 is 939624

GCF of denominators i.e. for 347,378 is 1.

Thus, LCM of Fractions is 939624.Finally, LCM of Fractions for 9996/347, 6392/378 is 939624.