Least Common Multiple of 267/85, 251/79, 757/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 267/85, 251/79, 757/297 quickly i.e. 50731869 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 267/85, 251/79, 757/297 is 50731869.

LCM(267/85, 251/79, 757/297) = 50731869

LCM of 267/85, 251/79, 757/297

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 267/85,251/79,757/297

Given numbers are 267/85,251/79,757/297

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 267,251,757

Least Common Multiple of Numerators i.e. LCM of 267,251,757 is 50731869.

GCF of Denominators means GCF of 85,79,297 as per the given fractions.

GCF of 85,79,297 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 267,251,757

LCM of Fractions 267/85,251/79,757/297 is 50731869

Given numbers has no common factors except 1. So, there LCM is their product i.e 50731869

Least Common Multiple of 267,251,757 with GCF Formula

Least Common Multiple of 267,251,757 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 267,251,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,251,757) = 1

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

GCF(267,251,757) x common factors =1 x 1 = 1

LCM(267,251,757) = ( 267 × 251 × 757 ) / 1

LCM(267,251,757) = 50731869 / 1

LCM(267,251,757) = 50731869


Lets's calculate GCF of 85,79,297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50731869/1

Therefore the LCM of Fractions 267/85,251/79,757/297 is 50731869

Greatest Common Factor of 85,79,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,79,297 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 85,79,297 . The biggest common factor number is the GCF number.
So the greatest common factor 85,79,297 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 267/85, 251/79, 757/297

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 267/85, 251/79, 757/297?

Answer: LCM of Numerators as per given numbers 267/85, 251/79, 757/297 is

LCM of Numerators i.e. for 267,251,757 is 50731869

GCF of denominators i.e. for 85,79,297 is 1.

Thus, LCM of Fractions is 50731869.Finally, LCM of Fractions for 267/85, 251/79, 757/297 is 50731869.