Least Common Multiple of 51/20, 512/97, 332/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/20, 512/97, 332/618 quickly i.e. 2167296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/20, 512/97, 332/618 is 2167296.

LCM(51/20, 512/97, 332/618) = 2167296

LCM of 51/20, 512/97, 332/618

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 51/20,512/97,332/618

Given numbers are 51/20,512/97,332/618

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 51,512,332

Least Common Multiple of Numerators i.e. LCM of 51,512,332 is 2167296.

GCF of Denominators means GCF of 20,97,618 as per the given fractions.

GCF of 20,97,618 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,512,332

LCM of Fractions 51/20,512/97,332/618 is 2167296

2 51, 512, 332
2 51, 256, 166
51, 128, 83

∴ So the LCM of the given numbers is 2 x 2 x 51 x 128 x 83 = 2167296

Least Common Multiple of 51,512,332 with GCF Formula

Least Common Multiple of 51,512,332 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 51,512,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,512,332) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(51,512,332) x common factors =1 x 4 = 4

LCM(51,512,332) = ( 51 × 512 × 332 ) / 4

LCM(51,512,332) = 8669184 / 4

LCM(51,512,332) = 2167296


Lets's calculate GCF of 20,97,618

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2167296/1

Therefore the LCM of Fractions 51/20,512/97,332/618 is 2167296

Greatest Common Factor of 20,97,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,97,618 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 20,97,618 . The biggest common factor number is the GCF number.
So the greatest common factor 20,97,618 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 51/20, 512/97, 332/618

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 51/20, 512/97, 332/618?

Answer: LCM of Numerators as per given numbers 51/20, 512/97, 332/618 is

LCM of Numerators i.e. for 51,512,332 is 2167296

GCF of denominators i.e. for 20,97,618 is 1.

Thus, LCM of Fractions is 2167296.Finally, LCM of Fractions for 51/20, 512/97, 332/618 is 2167296.