Least Common Multiple of 267/82, 460/6859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 267/82, 460/6859 quickly i.e. 122820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 267/82, 460/6859 is 122820.

LCM(267/82, 460/6859) = 122820

LCM of 267/82, 460/6859

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 267/82,460/6859

Given numbers are 267/82,460/6859

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 267,460

Least Common Multiple of Numerators i.e. LCM of 267,460 is 122820.

GCF of Denominators means GCF of 82,6859 as per the given fractions.

GCF of 82,6859 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 267,460

LCM of Fractions 267/82,460/6859 is 122820

Given numbers has no common factors except 1. So, there LCM is their product i.e 122820

Least Common Multiple of 267,460 with GCF Formula

Least Common Multiple of 267,460 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 267,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,460) = 1

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

GCF(267,460) x common factors =1 x 1 = 1

LCM(267,460) = ( 267 × 460 ) / 1

LCM(267,460) = 122820 / 1

LCM(267,460) = 122820


Lets's calculate GCF of 82,6859

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122820/1

Therefore the LCM of Fractions 267/82,460/6859 is 122820

Greatest Common Factor of 82,6859 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,6859 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 6859

List of positive integer factors of 6859 that divides 6859 without a remainder.

1,19,361,6859

Greatest Common Factor

We found the factors 82,6859 . The biggest common factor number is the GCF number.
So the greatest common factor 82,6859 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 267/82, 460/6859

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 267/82, 460/6859?

Answer: LCM of Numerators as per given numbers 267/82, 460/6859 is

LCM of Numerators i.e. for 267,460 is 122820

GCF of denominators i.e. for 82,6859 is 1.

Thus, LCM of Fractions is 122820.Finally, LCM of Fractions for 267/82, 460/6859 is 122820.