Least Common Multiple of 396/376, 915/710, 397/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 396/376, 915/710, 397/231 quickly i.e. 47949660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 396/376, 915/710, 397/231 is 47949660.

LCM(396/376, 915/710, 397/231) = 47949660

LCM of 396/376, 915/710, 397/231

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 396/376,915/710,397/231

Given numbers are 396/376,915/710,397/231

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 396,915,397

Least Common Multiple of Numerators i.e. LCM of 396,915,397 is 47949660.

GCF of Denominators means GCF of 376,710,231 as per the given fractions.

GCF of 376,710,231 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 396,915,397

LCM of Fractions 396/376,915/710,397/231 is 47949660

3 396, 915, 397
132, 305, 397

∴ So the LCM of the given numbers is 3 x 132 x 305 x 397 = 47949660

Least Common Multiple of 396,915,397 with GCF Formula

Least Common Multiple of 396,915,397 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 396,915,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,915,397) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(396,915,397) x common factors =1 x 3 = 3

LCM(396,915,397) = ( 396 × 915 × 397 ) / 3

LCM(396,915,397) = 143848980 / 3

LCM(396,915,397) = 47949660


Lets's calculate GCF of 376,710,231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47949660/1

Therefore the LCM of Fractions 396/376,915/710,397/231 is 47949660

Greatest Common Factor of 376,710,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 376,710,231 By Matching Biggest Common Factor Method

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 376,710,231 . The biggest common factor number is the GCF number.
So the greatest common factor 376,710,231 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 396/376, 915/710, 397/231

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 396/376, 915/710, 397/231?

Answer: LCM of Numerators as per given numbers 396/376, 915/710, 397/231 is

LCM of Numerators i.e. for 396,915,397 is 47949660

GCF of denominators i.e. for 376,710,231 is 1.

Thus, LCM of Fractions is 47949660.Finally, LCM of Fractions for 396/376, 915/710, 397/231 is 47949660.