Least Common Multiple of 51/563, 48/422, 743/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/563, 48/422, 743/513 quickly i.e. 606288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/563, 48/422, 743/513 is 606288.

LCM(51/563, 48/422, 743/513) = 606288

LCM of 51/563, 48/422, 743/513

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 51/563,48/422,743/513

Given numbers are 51/563,48/422,743/513

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 51,48,743

Least Common Multiple of Numerators i.e. LCM of 51,48,743 is 606288.

GCF of Denominators means GCF of 563,422,513 as per the given fractions.

GCF of 563,422,513 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,48,743

LCM of Fractions 51/563,48/422,743/513 is 606288

3 51, 48, 743
17, 16, 743

∴ So the LCM of the given numbers is 3 x 17 x 16 x 743 = 606288

Least Common Multiple of 51,48,743 with GCF Formula

Least Common Multiple of 51,48,743 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 51,48,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,48,743) = 1

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

GCF(51,48,743) x common factors =1 x 3 = 3

LCM(51,48,743) = ( 51 × 48 × 743 ) / 3

LCM(51,48,743) = 1818864 / 3

LCM(51,48,743) = 606288


Lets's calculate GCF of 563,422,513

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 606288/1

Therefore the LCM of Fractions 51/563,48/422,743/513 is 606288

Greatest Common Factor of 563,422,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 563,422,513 By Matching Biggest Common Factor Method

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 563,422,513 . The biggest common factor number is the GCF number.
So the greatest common factor 563,422,513 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 51/563, 48/422, 743/513

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 51/563, 48/422, 743/513?

Answer: LCM of Numerators as per given numbers 51/563, 48/422, 743/513 is

LCM of Numerators i.e. for 51,48,743 is 606288

GCF of denominators i.e. for 563,422,513 is 1.

Thus, LCM of Fractions is 606288.Finally, LCM of Fractions for 51/563, 48/422, 743/513 is 606288.