Least Common Multiple of 8269/89, 7312/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8269/89, 7312/918 quickly i.e. 60462928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8269/89, 7312/918 is 60462928.

LCM(8269/89, 7312/918) = 60462928

LCM of 8269/89, 7312/918

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 8269/89,7312/918

Given numbers are 8269/89,7312/918

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 8269,7312

Least Common Multiple of Numerators i.e. LCM of 8269,7312 is 60462928.

GCF of Denominators means GCF of 89,918 as per the given fractions.

GCF of 89,918 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8269,7312

LCM of Fractions 8269/89,7312/918 is 60462928

Given numbers has no common factors except 1. So, there LCM is their product i.e 60462928

Least Common Multiple of 8269,7312 with GCF Formula

Least Common Multiple of 8269,7312 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 8269,7312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8269,7312) = 1

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

GCF(8269,7312) x common factors =1 x 1 = 1

LCM(8269,7312) = ( 8269 × 7312 ) / 1

LCM(8269,7312) = 60462928 / 1

LCM(8269,7312) = 60462928


Lets's calculate GCF of 89,918

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60462928/1

Therefore the LCM of Fractions 8269/89,7312/918 is 60462928

Greatest Common Factor of 89,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,918 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 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 89,918 . The biggest common factor number is the GCF number.
So the greatest common factor 89,918 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 8269/89, 7312/918

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 8269/89, 7312/918?

Answer: LCM of Numerators as per given numbers 8269/89, 7312/918 is

LCM of Numerators i.e. for 8269,7312 is 60462928

GCF of denominators i.e. for 89,918 is 1.

Thus, LCM of Fractions is 60462928.Finally, LCM of Fractions for 8269/89, 7312/918 is 60462928.