Least Common Multiple of 267/757, 179/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 267/757, 179/809 quickly i.e. 47793 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 267/757, 179/809 is 47793.

LCM(267/757, 179/809) = 47793

LCM of 267/757, 179/809

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 267/757,179/809

Given numbers are 267/757,179/809

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 267,179

Least Common Multiple of Numerators i.e. LCM of 267,179 is 47793.

GCF of Denominators means GCF of 757,809 as per the given fractions.

GCF of 757,809 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 267,179

LCM of Fractions 267/757,179/809 is 47793

Given numbers has no common factors except 1. So, there LCM is their product i.e 47793

Least Common Multiple of 267,179 with GCF Formula

Least Common Multiple of 267,179 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 267,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,179) = 1

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

GCF(267,179) x common factors =1 x 1 = 1

LCM(267,179) = ( 267 × 179 ) / 1

LCM(267,179) = 47793 / 1

LCM(267,179) = 47793


Lets's calculate GCF of 757,809

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47793/1

Therefore the LCM of Fractions 267/757,179/809 is 47793

Greatest Common Factor of 757,809 By Matching Biggest Common Factor Method

Greatest Common Factor of 757,809 By Matching Biggest Common Factor Method

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Greatest Common Factor

We found the factors 757,809 . The biggest common factor number is the GCF number.
So the greatest common factor 757,809 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 267/757, 179/809

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 267/757, 179/809?

Answer: LCM of Numerators as per given numbers 267/757, 179/809 is

LCM of Numerators i.e. for 267,179 is 47793

GCF of denominators i.e. for 757,809 is 1.

Thus, LCM of Fractions is 47793.Finally, LCM of Fractions for 267/757, 179/809 is 47793.