Least Common Multiple of 3173/130, 4982/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3173/130, 4982/468 quickly i.e. 15807886/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3173/130, 4982/468 is 15807886/26.

LCM(3173/130, 4982/468) = 15807886/26

LCM of 3173/130, 4982/468

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 3173/130,4982/468

Given numbers are 3173/130,4982/468

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 3173,4982

Least Common Multiple of Numerators i.e. LCM of 3173,4982 is 15807886.

GCF of Denominators means GCF of 130,468 as per the given fractions.

GCF of 130,468 is 26 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3173,4982

LCM of Fractions 3173/130,4982/468 is 15807886/26

Given numbers has no common factors except 1. So, there LCM is their product i.e 15807886

Least Common Multiple of 3173,4982 with GCF Formula

Least Common Multiple of 3173,4982 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 3173,4982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3173,4982) = 1

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

GCF(3173,4982) x common factors =1 x 1 = 1

LCM(3173,4982) = ( 3173 × 4982 ) / 1

LCM(3173,4982) = 15807886 / 1

LCM(3173,4982) = 15807886


Lets's calculate GCF of 130,468

2 130, 468
13 65, 234
5, 18

∴ So the GCF of the given numbers is 2 x 13 = 26

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15807886/26

Therefore the LCM of Fractions 3173/130,4982/468 is 15807886/26

Greatest Common Factor of 130,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,468 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 130,468 . The biggest common factor number is the GCF number.
So the greatest common factor 130,468 is 26.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 3173/130, 4982/468

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 3173/130, 4982/468?

Answer: LCM of Numerators as per given numbers 3173/130, 4982/468 is

LCM of Numerators i.e. for 3173,4982 is 15807886

GCF of denominators i.e. for 130,468 is 26.

Thus, LCM of Fractions is 15807886/26.Finally, LCM of Fractions for 3173/130, 4982/468 is 15807886/26.