Least Common Multiple of 721/760, 5427/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 721/760, 5427/285 quickly i.e. 3912867/95 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 721/760, 5427/285 is 3912867/95.

LCM(721/760, 5427/285) = 3912867/95

LCM of 721/760, 5427/285

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 721/760,5427/285

Given numbers are 721/760,5427/285

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 721,5427

Least Common Multiple of Numerators i.e. LCM of 721,5427 is 3912867.

GCF of Denominators means GCF of 760,285 as per the given fractions.

GCF of 760,285 is 95 as it is the largest common factor for these numbers.

Lets's calculate LCM of 721,5427

LCM of Fractions 721/760,5427/285 is 3912867/95

Given numbers has no common factors except 1. So, there LCM is their product i.e 3912867

Least Common Multiple of 721,5427 with GCF Formula

Least Common Multiple of 721,5427 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 721,5427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,5427) = 1

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

GCF(721,5427) x common factors =1 x 1 = 1

LCM(721,5427) = ( 721 × 5427 ) / 1

LCM(721,5427) = 3912867 / 1

LCM(721,5427) = 3912867


Lets's calculate GCF of 760,285

5 760, 285
19 152, 57
8, 3

∴ So the GCF of the given numbers is 5 x 19 = 95

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3912867/95

Therefore the LCM of Fractions 721/760,5427/285 is 3912867/95

Greatest Common Factor of 760,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,285 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Greatest Common Factor

We found the factors 760,285 . The biggest common factor number is the GCF number.
So the greatest common factor 760,285 is 95.


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 721/760, 5427/285

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 721/760, 5427/285?

Answer: LCM of Numerators as per given numbers 721/760, 5427/285 is

LCM of Numerators i.e. for 721,5427 is 3912867

GCF of denominators i.e. for 760,285 is 95.

Thus, LCM of Fractions is 3912867/95.Finally, LCM of Fractions for 721/760, 5427/285 is 3912867/95.