Least Common Multiple of 779/467, 978/189, 679/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 779/467, 978/189, 679/562 quickly i.e. 517304298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 779/467, 978/189, 679/562 is 517304298.

LCM(779/467, 978/189, 679/562) = 517304298

LCM of 779/467, 978/189, 679/562

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 779/467,978/189,679/562

Given numbers are 779/467,978/189,679/562

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 779,978,679

Least Common Multiple of Numerators i.e. LCM of 779,978,679 is 517304298.

GCF of Denominators means GCF of 467,189,562 as per the given fractions.

GCF of 467,189,562 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 779,978,679

LCM of Fractions 779/467,978/189,679/562 is 517304298

Given numbers has no common factors except 1. So, there LCM is their product i.e 517304298

Least Common Multiple of 779,978,679 with GCF Formula

Least Common Multiple of 779,978,679 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 779,978,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(779,978,679) = 1

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

GCF(779,978,679) x common factors =1 x 1 = 1

LCM(779,978,679) = ( 779 × 978 × 679 ) / 1

LCM(779,978,679) = 517304298 / 1

LCM(779,978,679) = 517304298


Lets's calculate GCF of 467,189,562

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 517304298/1

Therefore the LCM of Fractions 779/467,978/189,679/562 is 517304298

Greatest Common Factor of 467,189,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,189,562 By Matching Biggest Common Factor Method

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 467,189,562 . The biggest common factor number is the GCF number.
So the greatest common factor 467,189,562 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 779/467, 978/189, 679/562

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 779/467, 978/189, 679/562?

Answer: LCM of Numerators as per given numbers 779/467, 978/189, 679/562 is

LCM of Numerators i.e. for 779,978,679 is 517304298

GCF of denominators i.e. for 467,189,562 is 1.

Thus, LCM of Fractions is 517304298.Finally, LCM of Fractions for 779/467, 978/189, 679/562 is 517304298.