Least Common Multiple of 130/53, 212/3174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 130/53, 212/3174 quickly i.e. 13780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 130/53, 212/3174 is 13780.

LCM(130/53, 212/3174) = 13780

LCM of 130/53, 212/3174

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 130/53,212/3174

Given numbers are 130/53,212/3174

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 130,212

Least Common Multiple of Numerators i.e. LCM of 130,212 is 13780.

GCF of Denominators means GCF of 53,3174 as per the given fractions.

GCF of 53,3174 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 130,212

LCM of Fractions 130/53,212/3174 is 13780

2 130, 212
65, 106

∴ So the LCM of the given numbers is 2 x 65 x 106 = 13780

Least Common Multiple of 130,212 with GCF Formula

Least Common Multiple of 130,212 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 130,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,212) = 2

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

GCF(130,212) x common factors =2 x 1 = 2

LCM(130,212) = ( 130 × 212 ) / 2

LCM(130,212) = 27560 / 2

LCM(130,212) = 13780


Lets's calculate GCF of 53,3174

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13780/1

Therefore the LCM of Fractions 130/53,212/3174 is 13780

Greatest Common Factor of 53,3174 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,3174 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 3174

List of positive integer factors of 3174 that divides 3174 without a remainder.

1,2,3,6,23,46,69,138,529,1058,1587,3174

Greatest Common Factor

We found the factors 53,3174 . The biggest common factor number is the GCF number.
So the greatest common factor 53,3174 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 130/53, 212/3174

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 130/53, 212/3174?

Answer: LCM of Numerators as per given numbers 130/53, 212/3174 is

LCM of Numerators i.e. for 130,212 is 13780

GCF of denominators i.e. for 53,3174 is 1.

Thus, LCM of Fractions is 13780.Finally, LCM of Fractions for 130/53, 212/3174 is 13780.