Least Common Multiple of 634/82, 163/31, 113/515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 634/82, 163/31, 113/515 quickly i.e. 11677646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 634/82, 163/31, 113/515 is 11677646.

LCM(634/82, 163/31, 113/515) = 11677646

LCM of 634/82, 163/31, 113/515

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 634/82,163/31,113/515

Given numbers are 634/82,163/31,113/515

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 634,163,113

Least Common Multiple of Numerators i.e. LCM of 634,163,113 is 11677646.

GCF of Denominators means GCF of 82,31,515 as per the given fractions.

GCF of 82,31,515 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 634,163,113

LCM of Fractions 634/82,163/31,113/515 is 11677646

Given numbers has no common factors except 1. So, there LCM is their product i.e 11677646

Least Common Multiple of 634,163,113 with GCF Formula

Least Common Multiple of 634,163,113 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 634,163,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,163,113) = 1

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

GCF(634,163,113) x common factors =1 x 1 = 1

LCM(634,163,113) = ( 634 × 163 × 113 ) / 1

LCM(634,163,113) = 11677646 / 1

LCM(634,163,113) = 11677646


Lets's calculate GCF of 82,31,515

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11677646/1

Therefore the LCM of Fractions 634/82,163/31,113/515 is 11677646

Greatest Common Factor of 82,31,515 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,31,515 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Greatest Common Factor

We found the factors 82,31,515 . The biggest common factor number is the GCF number.
So the greatest common factor 82,31,515 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 634/82, 163/31, 113/515

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 634/82, 163/31, 113/515?

Answer: LCM of Numerators as per given numbers 634/82, 163/31, 113/515 is

LCM of Numerators i.e. for 634,163,113 is 11677646

GCF of denominators i.e. for 82,31,515 is 1.

Thus, LCM of Fractions is 11677646.Finally, LCM of Fractions for 634/82, 163/31, 113/515 is 11677646.