Least Common Multiple of 759/994, 471/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 759/994, 471/600 quickly i.e. 119163/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 759/994, 471/600 is 119163/2.

LCM(759/994, 471/600) = 119163/2

LCM of 759/994, 471/600

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 759/994,471/600

Given numbers are 759/994,471/600

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 759,471

Least Common Multiple of Numerators i.e. LCM of 759,471 is 119163.

GCF of Denominators means GCF of 994,600 as per the given fractions.

GCF of 994,600 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 759,471

LCM of Fractions 759/994,471/600 is 119163/2

3 759, 471
253, 157

∴ So the LCM of the given numbers is 3 x 253 x 157 = 119163

Least Common Multiple of 759,471 with GCF Formula

Least Common Multiple of 759,471 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 759,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,471) = 3

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

GCF(759,471) x common factors =3 x 1 = 3

LCM(759,471) = ( 759 × 471 ) / 3

LCM(759,471) = 357489 / 3

LCM(759,471) = 119163


Lets's calculate GCF of 994,600

2 994, 600
497, 300

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119163/2

Therefore the LCM of Fractions 759/994,471/600 is 119163/2

Greatest Common Factor of 994,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,600 By Matching Biggest Common Factor Method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 994,600 . The biggest common factor number is the GCF number.
So the greatest common factor 994,600 is 2.


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 759/994, 471/600

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 759/994, 471/600?

Answer: LCM of Numerators as per given numbers 759/994, 471/600 is

LCM of Numerators i.e. for 759,471 is 119163

GCF of denominators i.e. for 994,600 is 2.

Thus, LCM of Fractions is 119163/2.Finally, LCM of Fractions for 759/994, 471/600 is 119163/2.