Least Common Multiple of 9218/567, 9645/1121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9218/567, 9645/1121 quickly i.e. 88907610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9218/567, 9645/1121 is 88907610.

LCM(9218/567, 9645/1121) = 88907610

LCM of 9218/567, 9645/1121

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 9218/567,9645/1121

Given numbers are 9218/567,9645/1121

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 9218,9645

Least Common Multiple of Numerators i.e. LCM of 9218,9645 is 88907610.

GCF of Denominators means GCF of 567,1121 as per the given fractions.

GCF of 567,1121 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9218,9645

LCM of Fractions 9218/567,9645/1121 is 88907610

Given numbers has no common factors except 1. So, there LCM is their product i.e 88907610

Least Common Multiple of 9218,9645 with GCF Formula

Least Common Multiple of 9218,9645 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 9218,9645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9218,9645) = 1

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

GCF(9218,9645) x common factors =1 x 1 = 1

LCM(9218,9645) = ( 9218 × 9645 ) / 1

LCM(9218,9645) = 88907610 / 1

LCM(9218,9645) = 88907610


Lets's calculate GCF of 567,1121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88907610/1

Therefore the LCM of Fractions 9218/567,9645/1121 is 88907610

Greatest Common Factor of 567,1121 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,1121 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 1121

List of positive integer factors of 1121 that divides 1121 without a remainder.

1,19,59,1121

Greatest Common Factor

We found the factors 567,1121 . The biggest common factor number is the GCF number.
So the greatest common factor 567,1121 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 9218/567, 9645/1121

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 9218/567, 9645/1121?

Answer: LCM of Numerators as per given numbers 9218/567, 9645/1121 is

LCM of Numerators i.e. for 9218,9645 is 88907610

GCF of denominators i.e. for 567,1121 is 1.

Thus, LCM of Fractions is 88907610.Finally, LCM of Fractions for 9218/567, 9645/1121 is 88907610.