Least Common Multiple of 759/60, 3543/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 759/60, 3543/671 quickly i.e. 896379 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 759/60, 3543/671 is 896379.

LCM(759/60, 3543/671) = 896379

LCM of 759/60, 3543/671

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 759/60,3543/671

Given numbers are 759/60,3543/671

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 759,3543

Least Common Multiple of Numerators i.e. LCM of 759,3543 is 896379.

GCF of Denominators means GCF of 60,671 as per the given fractions.

GCF of 60,671 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 759,3543

LCM of Fractions 759/60,3543/671 is 896379

3 759, 3543
253, 1181

∴ So the LCM of the given numbers is 3 x 253 x 1181 = 896379

Least Common Multiple of 759,3543 with GCF Formula

Least Common Multiple of 759,3543 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 759,3543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,3543) = 3

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

GCF(759,3543) x common factors =3 x 1 = 3

LCM(759,3543) = ( 759 × 3543 ) / 3

LCM(759,3543) = 2689137 / 3

LCM(759,3543) = 896379


Lets's calculate GCF of 60,671

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 896379/1

Therefore the LCM of Fractions 759/60,3543/671 is 896379

Greatest Common Factor of 60,671 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,671 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Greatest Common Factor

We found the factors 60,671 . The biggest common factor number is the GCF number.
So the greatest common factor 60,671 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 759/60, 3543/671

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 759/60, 3543/671?

Answer: LCM of Numerators as per given numbers 759/60, 3543/671 is

LCM of Numerators i.e. for 759,3543 is 896379

GCF of denominators i.e. for 60,671 is 1.

Thus, LCM of Fractions is 896379.Finally, LCM of Fractions for 759/60, 3543/671 is 896379.