Least Common Multiple of 9577/618, 3249/865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9577/618, 3249/865 quickly i.e. 31115673 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9577/618, 3249/865 is 31115673.

LCM(9577/618, 3249/865) = 31115673

LCM of 9577/618, 3249/865

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 9577/618,3249/865

Given numbers are 9577/618,3249/865

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 9577,3249

Least Common Multiple of Numerators i.e. LCM of 9577,3249 is 31115673.

GCF of Denominators means GCF of 618,865 as per the given fractions.

GCF of 618,865 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9577,3249

LCM of Fractions 9577/618,3249/865 is 31115673

Given numbers has no common factors except 1. So, there LCM is their product i.e 31115673

Least Common Multiple of 9577,3249 with GCF Formula

Least Common Multiple of 9577,3249 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 9577,3249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9577,3249) = 1

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

GCF(9577,3249) x common factors =1 x 1 = 1

LCM(9577,3249) = ( 9577 × 3249 ) / 1

LCM(9577,3249) = 31115673 / 1

LCM(9577,3249) = 31115673


Lets's calculate GCF of 618,865

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31115673/1

Therefore the LCM of Fractions 9577/618,3249/865 is 31115673

Greatest Common Factor of 618,865 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,865 By Matching Biggest Common Factor Method

Factors of 618

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

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

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Greatest Common Factor

We found the factors 618,865 . The biggest common factor number is the GCF number.
So the greatest common factor 618,865 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9577/618, 3249/865

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 9577/618, 3249/865?

Answer: LCM of Numerators as per given numbers 9577/618, 3249/865 is

LCM of Numerators i.e. for 9577,3249 is 31115673

GCF of denominators i.e. for 618,865 is 1.

Thus, LCM of Fractions is 31115673.Finally, LCM of Fractions for 9577/618, 3249/865 is 31115673.