Least Common Multiple of 759/691, 321/930, 947/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 759/691, 321/930, 947/464 quickly i.e. 76908711 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 759/691, 321/930, 947/464 is 76908711.

LCM(759/691, 321/930, 947/464) = 76908711

LCM of 759/691, 321/930, 947/464

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 759/691,321/930,947/464

Given numbers are 759/691,321/930,947/464

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 759,321,947

Least Common Multiple of Numerators i.e. LCM of 759,321,947 is 76908711.

GCF of Denominators means GCF of 691,930,464 as per the given fractions.

GCF of 691,930,464 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 759,321,947

LCM of Fractions 759/691,321/930,947/464 is 76908711

3 759, 321, 947
253, 107, 947

∴ So the LCM of the given numbers is 3 x 253 x 107 x 947 = 76908711

Least Common Multiple of 759,321,947 with GCF Formula

Least Common Multiple of 759,321,947 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 759,321,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,321,947) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(759,321,947) x common factors =1 x 3 = 3

LCM(759,321,947) = ( 759 × 321 × 947 ) / 3

LCM(759,321,947) = 230726133 / 3

LCM(759,321,947) = 76908711


Lets's calculate GCF of 691,930,464

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76908711/1

Therefore the LCM of Fractions 759/691,321/930,947/464 is 76908711

Greatest Common Factor of 691,930,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 691,930,464 By Matching Biggest Common Factor Method

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 691,930,464 . The biggest common factor number is the GCF number.
So the greatest common factor 691,930,464 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 759/691, 321/930, 947/464

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 759/691, 321/930, 947/464?

Answer: LCM of Numerators as per given numbers 759/691, 321/930, 947/464 is

LCM of Numerators i.e. for 759,321,947 is 76908711

GCF of denominators i.e. for 691,930,464 is 1.

Thus, LCM of Fractions is 76908711.Finally, LCM of Fractions for 759/691, 321/930, 947/464 is 76908711.