Least Common Multiple of 267/71, 628/43, 272/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 267/71, 628/43, 272/754 quickly i.e. 11401968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 267/71, 628/43, 272/754 is 11401968.

LCM(267/71, 628/43, 272/754) = 11401968

LCM of 267/71, 628/43, 272/754

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 267/71,628/43,272/754

Given numbers are 267/71,628/43,272/754

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 267,628,272

Least Common Multiple of Numerators i.e. LCM of 267,628,272 is 11401968.

GCF of Denominators means GCF of 71,43,754 as per the given fractions.

GCF of 71,43,754 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 267,628,272

LCM of Fractions 267/71,628/43,272/754 is 11401968

2 267, 628, 272
2 267, 314, 136
267, 157, 68

∴ So the LCM of the given numbers is 2 x 2 x 267 x 157 x 68 = 11401968

Least Common Multiple of 267,628,272 with GCF Formula

Least Common Multiple of 267,628,272 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 267,628,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,628,272) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(267,628,272) x common factors =1 x 4 = 4

LCM(267,628,272) = ( 267 × 628 × 272 ) / 4

LCM(267,628,272) = 45607872 / 4

LCM(267,628,272) = 11401968


Lets's calculate GCF of 71,43,754

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11401968/1

Therefore the LCM of Fractions 267/71,628/43,272/754 is 11401968

Greatest Common Factor of 71,43,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,43,754 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 71,43,754 . The biggest common factor number is the GCF number.
So the greatest common factor 71,43,754 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 267/71, 628/43, 272/754

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 267/71, 628/43, 272/754?

Answer: LCM of Numerators as per given numbers 267/71, 628/43, 272/754 is

LCM of Numerators i.e. for 267,628,272 is 11401968

GCF of denominators i.e. for 71,43,754 is 1.

Thus, LCM of Fractions is 11401968.Finally, LCM of Fractions for 267/71, 628/43, 272/754 is 11401968.