Least Common Multiple of 8997/891, 7583/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8997/891, 7583/345 quickly i.e. 22741417 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8997/891, 7583/345 is 22741417.

LCM(8997/891, 7583/345) = 22741417

LCM of 8997/891, 7583/345

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 8997/891,7583/345

Given numbers are 8997/891,7583/345

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 8997,7583

Least Common Multiple of Numerators i.e. LCM of 8997,7583 is 68224251.

GCF of Denominators means GCF of 891,345 as per the given fractions.

GCF of 891,345 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8997,7583

LCM of Fractions 8997/891,7583/345 is 22741417

Given numbers has no common factors except 1. So, there LCM is their product i.e 68224251

Least Common Multiple of 8997,7583 with GCF Formula

Least Common Multiple of 8997,7583 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 8997,7583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8997,7583) = 1

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

GCF(8997,7583) x common factors =1 x 1 = 1

LCM(8997,7583) = ( 8997 × 7583 ) / 1

LCM(8997,7583) = 68224251 / 1

LCM(8997,7583) = 68224251


Lets's calculate GCF of 891,345

3 891, 345
297, 115

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68224251/3

Therefore the LCM of Fractions 8997/891,7583/345 is 22741417

Greatest Common Factor of 891,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 891,345 By Matching Biggest Common Factor Method

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 891,345 . The biggest common factor number is the GCF number.
So the greatest common factor 891,345 is 3.


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 8997/891, 7583/345

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 8997/891, 7583/345?

Answer: LCM of Numerators as per given numbers 8997/891, 7583/345 is

LCM of Numerators i.e. for 8997,7583 is 68224251

GCF of denominators i.e. for 891,345 is 3.

Thus, LCM of Fractions is 22741417.Finally, LCM of Fractions for 8997/891, 7583/345 is 22741417.