Least Common Multiple of 386/580, 345/216, 978/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 386/580, 345/216, 978/979 quickly i.e. 21706710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 386/580, 345/216, 978/979 is 21706710.

LCM(386/580, 345/216, 978/979) = 21706710

LCM of 386/580, 345/216, 978/979

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 386/580,345/216,978/979

Given numbers are 386/580,345/216,978/979

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 386,345,978

Least Common Multiple of Numerators i.e. LCM of 386,345,978 is 21706710.

GCF of Denominators means GCF of 580,216,979 as per the given fractions.

GCF of 580,216,979 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 386,345,978

LCM of Fractions 386/580,345/216,978/979 is 21706710

2 386, 345, 978
3 193, 345, 489
193, 115, 163

∴ So the LCM of the given numbers is 2 x 3 x 193 x 115 x 163 = 21706710

Least Common Multiple of 386,345,978 with GCF Formula

Least Common Multiple of 386,345,978 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 386,345,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,345,978) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(386,345,978) x common factors =1 x 6 = 6

LCM(386,345,978) = ( 386 × 345 × 978 ) / 6

LCM(386,345,978) = 130240260 / 6

LCM(386,345,978) = 21706710


Lets's calculate GCF of 580,216,979

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21706710/1

Therefore the LCM of Fractions 386/580,345/216,978/979 is 21706710

Greatest Common Factor of 580,216,979 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,216,979 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Greatest Common Factor

We found the factors 580,216,979 . The biggest common factor number is the GCF number.
So the greatest common factor 580,216,979 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 386/580, 345/216, 978/979

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 386/580, 345/216, 978/979?

Answer: LCM of Numerators as per given numbers 386/580, 345/216, 978/979 is

LCM of Numerators i.e. for 386,345,978 is 21706710

GCF of denominators i.e. for 580,216,979 is 1.

Thus, LCM of Fractions is 21706710.Finally, LCM of Fractions for 386/580, 345/216, 978/979 is 21706710.