Least Common Multiple of 78/664, 696/930, 689/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 78/664, 696/930, 689/861 quickly i.e. 479544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/664, 696/930, 689/861 is 479544.

LCM(78/664, 696/930, 689/861) = 479544

LCM of 78/664, 696/930, 689/861

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 78/664,696/930,689/861

Given numbers are 78/664,696/930,689/861

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 78,696,689

Least Common Multiple of Numerators i.e. LCM of 78,696,689 is 479544.

GCF of Denominators means GCF of 664,930,861 as per the given fractions.

GCF of 664,930,861 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,696,689

LCM of Fractions 78/664,696/930,689/861 is 479544

2 78, 696, 689
3 39, 348, 689
13 13, 116, 689
1, 116, 53

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 116 x 53 = 479544

Least Common Multiple of 78,696,689 with GCF Formula

Least Common Multiple of 78,696,689 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 78,696,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,696,689) = 1

common factors(in case of two or more numbers have common factors) = 78

GCF(78,696,689) x common factors =1 x 78 = 78

LCM(78,696,689) = ( 78 × 696 × 689 ) / 78

LCM(78,696,689) = 37404432 / 78

LCM(78,696,689) = 479544


Lets's calculate GCF of 664,930,861

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 479544/1

Therefore the LCM of Fractions 78/664,696/930,689/861 is 479544

Greatest Common Factor of 664,930,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 664,930,861 By Matching Biggest Common Factor Method

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

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 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 664,930,861 . The biggest common factor number is the GCF number.
So the greatest common factor 664,930,861 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 78/664, 696/930, 689/861

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 78/664, 696/930, 689/861?

Answer: LCM of Numerators as per given numbers 78/664, 696/930, 689/861 is

LCM of Numerators i.e. for 78,696,689 is 479544

GCF of denominators i.e. for 664,930,861 is 1.

Thus, LCM of Fractions is 479544.Finally, LCM of Fractions for 78/664, 696/930, 689/861 is 479544.