Least Common Multiple of 331/38, 947/6378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 331/38, 947/6378 quickly i.e. 313457/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 331/38, 947/6378 is 313457/2.

LCM(331/38, 947/6378) = 313457/2

LCM of 331/38, 947/6378

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 331/38,947/6378

Given numbers are 331/38,947/6378

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 331,947

Least Common Multiple of Numerators i.e. LCM of 331,947 is 313457.

GCF of Denominators means GCF of 38,6378 as per the given fractions.

GCF of 38,6378 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 331,947

LCM of Fractions 331/38,947/6378 is 313457/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 313457

Least Common Multiple of 331,947 with GCF Formula

Least Common Multiple of 331,947 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 331,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(331,947) = 1

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

GCF(331,947) x common factors =1 x 1 = 1

LCM(331,947) = ( 331 × 947 ) / 1

LCM(331,947) = 313457 / 1

LCM(331,947) = 313457


Lets's calculate GCF of 38,6378

2 38, 6378
19, 3189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 313457/2

Therefore the LCM of Fractions 331/38,947/6378 is 313457/2

Greatest Common Factor of 38,6378 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,6378 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 6378

List of positive integer factors of 6378 that divides 6378 without a remainder.

1,2,3,6,1063,2126,3189,6378

Greatest Common Factor

We found the factors 38,6378 . The biggest common factor number is the GCF number.
So the greatest common factor 38,6378 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 331/38, 947/6378

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 331/38, 947/6378?

Answer: LCM of Numerators as per given numbers 331/38, 947/6378 is

LCM of Numerators i.e. for 331,947 is 313457

GCF of denominators i.e. for 38,6378 is 2.

Thus, LCM of Fractions is 313457/2.Finally, LCM of Fractions for 331/38, 947/6378 is 313457/2.