Least Common Multiple of 679/64, 139/10, 678/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 679/64, 139/10, 678/924 quickly i.e. 31995159 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 679/64, 139/10, 678/924 is 31995159.

LCM(679/64, 139/10, 678/924) = 31995159

LCM of 679/64, 139/10, 678/924

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 679/64,139/10,678/924

Given numbers are 679/64,139/10,678/924

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 679,139,678

Least Common Multiple of Numerators i.e. LCM of 679,139,678 is 63990318.

GCF of Denominators means GCF of 64,10,924 as per the given fractions.

GCF of 64,10,924 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 679,139,678

LCM of Fractions 679/64,139/10,678/924 is 31995159

Given numbers has no common factors except 1. So, there LCM is their product i.e 63990318

Least Common Multiple of 679,139,678 with GCF Formula

Least Common Multiple of 679,139,678 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 679,139,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,139,678) = 1

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

GCF(679,139,678) x common factors =1 x 1 = 1

LCM(679,139,678) = ( 679 × 139 × 678 ) / 1

LCM(679,139,678) = 63990318 / 1

LCM(679,139,678) = 63990318


Lets's calculate GCF of 64,10,924

2 64, 10, 924
32, 5, 462

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63990318/2

Therefore the LCM of Fractions 679/64,139/10,678/924 is 31995159

Greatest Common Factor of 64,10,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,10,924 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 64,10,924 . The biggest common factor number is the GCF number.
So the greatest common factor 64,10,924 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 679/64, 139/10, 678/924

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 679/64, 139/10, 678/924?

Answer: LCM of Numerators as per given numbers 679/64, 139/10, 678/924 is

LCM of Numerators i.e. for 679,139,678 is 63990318

GCF of denominators i.e. for 64,10,924 is 2.

Thus, LCM of Fractions is 31995159.Finally, LCM of Fractions for 679/64, 139/10, 678/924 is 31995159.