Least Common Multiple of 51/743, 7422/5634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/743, 7422/5634 quickly i.e. 126174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/743, 7422/5634 is 126174.

LCM(51/743, 7422/5634) = 126174

LCM of 51/743, 7422/5634

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 51/743,7422/5634

Given numbers are 51/743,7422/5634

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 51,7422

Least Common Multiple of Numerators i.e. LCM of 51,7422 is 126174.

GCF of Denominators means GCF of 743,5634 as per the given fractions.

GCF of 743,5634 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,7422

LCM of Fractions 51/743,7422/5634 is 126174

3 51, 7422
17, 2474

∴ So the LCM of the given numbers is 3 x 17 x 2474 = 126174

Least Common Multiple of 51,7422 with GCF Formula

Least Common Multiple of 51,7422 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 51,7422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,7422) = 3

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

GCF(51,7422) x common factors =3 x 1 = 3

LCM(51,7422) = ( 51 × 7422 ) / 3

LCM(51,7422) = 378522 / 3

LCM(51,7422) = 126174


Lets's calculate GCF of 743,5634

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126174/1

Therefore the LCM of Fractions 51/743,7422/5634 is 126174

Greatest Common Factor of 743,5634 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,5634 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 5634

List of positive integer factors of 5634 that divides 5634 without a remainder.

1,2,3,6,9,18,313,626,939,1878,2817,5634

Greatest Common Factor

We found the factors 743,5634 . The biggest common factor number is the GCF number.
So the greatest common factor 743,5634 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 51/743, 7422/5634

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 51/743, 7422/5634?

Answer: LCM of Numerators as per given numbers 51/743, 7422/5634 is

LCM of Numerators i.e. for 51,7422 is 126174

GCF of denominators i.e. for 743,5634 is 1.

Thus, LCM of Fractions is 126174.Finally, LCM of Fractions for 51/743, 7422/5634 is 126174.