Least Common Multiple of 318/267, 1097/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 318/267, 1097/821 quickly i.e. 348846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 318/267, 1097/821 is 348846.

LCM(318/267, 1097/821) = 348846

LCM of 318/267, 1097/821

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 318/267,1097/821

Given numbers are 318/267,1097/821

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 318,1097

Least Common Multiple of Numerators i.e. LCM of 318,1097 is 348846.

GCF of Denominators means GCF of 267,821 as per the given fractions.

GCF of 267,821 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 318,1097

LCM of Fractions 318/267,1097/821 is 348846

Given numbers has no common factors except 1. So, there LCM is their product i.e 348846

Least Common Multiple of 318,1097 with GCF Formula

Least Common Multiple of 318,1097 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 318,1097 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,1097) = 1

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

GCF(318,1097) x common factors =1 x 1 = 1

LCM(318,1097) = ( 318 × 1097 ) / 1

LCM(318,1097) = 348846 / 1

LCM(318,1097) = 348846


Lets's calculate GCF of 267,821

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 348846/1

Therefore the LCM of Fractions 318/267,1097/821 is 348846

Greatest Common Factor of 267,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 267,821 By Matching Biggest Common Factor Method

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Greatest Common Factor

We found the factors 267,821 . The biggest common factor number is the GCF number.
So the greatest common factor 267,821 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 318/267, 1097/821

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 318/267, 1097/821?

Answer: LCM of Numerators as per given numbers 318/267, 1097/821 is

LCM of Numerators i.e. for 318,1097 is 348846

GCF of denominators i.e. for 267,821 is 1.

Thus, LCM of Fractions is 348846.Finally, LCM of Fractions for 318/267, 1097/821 is 348846.