Least Common Multiple of 267/48, 867/9679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 267/48, 867/9679 quickly i.e. 77163 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 267/48, 867/9679 is 77163.

LCM(267/48, 867/9679) = 77163

LCM of 267/48, 867/9679

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 267/48,867/9679

Given numbers are 267/48,867/9679

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 267,867

Least Common Multiple of Numerators i.e. LCM of 267,867 is 77163.

GCF of Denominators means GCF of 48,9679 as per the given fractions.

GCF of 48,9679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 267,867

LCM of Fractions 267/48,867/9679 is 77163

3 267, 867
89, 289

∴ So the LCM of the given numbers is 3 x 89 x 289 = 77163

Least Common Multiple of 267,867 with GCF Formula

Least Common Multiple of 267,867 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 267,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,867) = 3

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

GCF(267,867) x common factors =3 x 1 = 3

LCM(267,867) = ( 267 × 867 ) / 3

LCM(267,867) = 231489 / 3

LCM(267,867) = 77163


Lets's calculate GCF of 48,9679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77163/1

Therefore the LCM of Fractions 267/48,867/9679 is 77163

Greatest Common Factor of 48,9679 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,9679 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 9679

List of positive integer factors of 9679 that divides 9679 without a remainder.

1,9679

Greatest Common Factor

We found the factors 48,9679 . The biggest common factor number is the GCF number.
So the greatest common factor 48,9679 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 267/48, 867/9679

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 267/48, 867/9679?

Answer: LCM of Numerators as per given numbers 267/48, 867/9679 is

LCM of Numerators i.e. for 267,867 is 77163

GCF of denominators i.e. for 48,9679 is 1.

Thus, LCM of Fractions is 77163.Finally, LCM of Fractions for 267/48, 867/9679 is 77163.