Least Common Multiple of 267/81, 273/41, 770/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 267/81, 273/41, 770/734 quickly i.e. 2672670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 267/81, 273/41, 770/734 is 2672670.

LCM(267/81, 273/41, 770/734) = 2672670

LCM of 267/81, 273/41, 770/734

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 267/81,273/41,770/734

Given numbers are 267/81,273/41,770/734

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 267,273,770

Least Common Multiple of Numerators i.e. LCM of 267,273,770 is 2672670.

GCF of Denominators means GCF of 81,41,734 as per the given fractions.

GCF of 81,41,734 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 267,273,770

LCM of Fractions 267/81,273/41,770/734 is 2672670

3 267, 273, 770
7 89, 91, 770
89, 13, 110

∴ So the LCM of the given numbers is 3 x 7 x 89 x 13 x 110 = 2672670

Least Common Multiple of 267,273,770 with GCF Formula

Least Common Multiple of 267,273,770 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 267,273,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,273,770) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(267,273,770) x common factors =1 x 21 = 21

LCM(267,273,770) = ( 267 × 273 × 770 ) / 21

LCM(267,273,770) = 56126070 / 21

LCM(267,273,770) = 2672670


Lets's calculate GCF of 81,41,734

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2672670/1

Therefore the LCM of Fractions 267/81,273/41,770/734 is 2672670

Greatest Common Factor of 81,41,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,41,734 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 81,41,734 . The biggest common factor number is the GCF number.
So the greatest common factor 81,41,734 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 267/81, 273/41, 770/734

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 267/81, 273/41, 770/734?

Answer: LCM of Numerators as per given numbers 267/81, 273/41, 770/734 is

LCM of Numerators i.e. for 267,273,770 is 2672670

GCF of denominators i.e. for 81,41,734 is 1.

Thus, LCM of Fractions is 2672670.Finally, LCM of Fractions for 267/81, 273/41, 770/734 is 2672670.