Least Common Multiple of 7518/89, 5326/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7518/89, 5326/762 quickly i.e. 20020434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7518/89, 5326/762 is 20020434.

LCM(7518/89, 5326/762) = 20020434

LCM of 7518/89, 5326/762

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 7518/89,5326/762

Given numbers are 7518/89,5326/762

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 7518,5326

Least Common Multiple of Numerators i.e. LCM of 7518,5326 is 20020434.

GCF of Denominators means GCF of 89,762 as per the given fractions.

GCF of 89,762 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7518,5326

LCM of Fractions 7518/89,5326/762 is 20020434

2 7518, 5326
3759, 2663

∴ So the LCM of the given numbers is 2 x 3759 x 2663 = 20020434

Least Common Multiple of 7518,5326 with GCF Formula

Least Common Multiple of 7518,5326 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 7518,5326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7518,5326) = 2

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

GCF(7518,5326) x common factors =2 x 1 = 2

LCM(7518,5326) = ( 7518 × 5326 ) / 2

LCM(7518,5326) = 40040868 / 2

LCM(7518,5326) = 20020434


Lets's calculate GCF of 89,762

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20020434/1

Therefore the LCM of Fractions 7518/89,5326/762 is 20020434

Greatest Common Factor of 89,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,762 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 89,762 . The biggest common factor number is the GCF number.
So the greatest common factor 89,762 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7518/89, 5326/762

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 7518/89, 5326/762?

Answer: LCM of Numerators as per given numbers 7518/89, 5326/762 is

LCM of Numerators i.e. for 7518,5326 is 20020434

GCF of denominators i.e. for 89,762 is 1.

Thus, LCM of Fractions is 20020434.Finally, LCM of Fractions for 7518/89, 5326/762 is 20020434.