Least Common Multiple of 7570/725, 4724/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7570/725, 4724/234 quickly i.e. 17880340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7570/725, 4724/234 is 17880340.

LCM(7570/725, 4724/234) = 17880340

LCM of 7570/725, 4724/234

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 7570/725,4724/234

Given numbers are 7570/725,4724/234

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 7570,4724

Least Common Multiple of Numerators i.e. LCM of 7570,4724 is 17880340.

GCF of Denominators means GCF of 725,234 as per the given fractions.

GCF of 725,234 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7570,4724

LCM of Fractions 7570/725,4724/234 is 17880340

2 7570, 4724
3785, 2362

∴ So the LCM of the given numbers is 2 x 3785 x 2362 = 17880340

Least Common Multiple of 7570,4724 with GCF Formula

Least Common Multiple of 7570,4724 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 7570,4724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7570,4724) = 2

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

GCF(7570,4724) x common factors =2 x 1 = 2

LCM(7570,4724) = ( 7570 × 4724 ) / 2

LCM(7570,4724) = 35760680 / 2

LCM(7570,4724) = 17880340


Lets's calculate GCF of 725,234

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17880340/1

Therefore the LCM of Fractions 7570/725,4724/234 is 17880340

Greatest Common Factor of 725,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,234 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 725,234 . The biggest common factor number is the GCF number.
So the greatest common factor 725,234 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7570/725, 4724/234

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 7570/725, 4724/234?

Answer: LCM of Numerators as per given numbers 7570/725, 4724/234 is

LCM of Numerators i.e. for 7570,4724 is 17880340

GCF of denominators i.e. for 725,234 is 1.

Thus, LCM of Fractions is 17880340.Finally, LCM of Fractions for 7570/725, 4724/234 is 17880340.