Least Common Multiple of 679/59, 892/70, 305/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 679/59, 892/70, 305/209 quickly i.e. 184728740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 679/59, 892/70, 305/209 is 184728740.

LCM(679/59, 892/70, 305/209) = 184728740

LCM of 679/59, 892/70, 305/209

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 679/59,892/70,305/209

Given numbers are 679/59,892/70,305/209

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 679,892,305

Least Common Multiple of Numerators i.e. LCM of 679,892,305 is 184728740.

GCF of Denominators means GCF of 59,70,209 as per the given fractions.

GCF of 59,70,209 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 679,892,305

LCM of Fractions 679/59,892/70,305/209 is 184728740

Given numbers has no common factors except 1. So, there LCM is their product i.e 184728740

Least Common Multiple of 679,892,305 with GCF Formula

Least Common Multiple of 679,892,305 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 679,892,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,892,305) = 1

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

GCF(679,892,305) x common factors =1 x 1 = 1

LCM(679,892,305) = ( 679 × 892 × 305 ) / 1

LCM(679,892,305) = 184728740 / 1

LCM(679,892,305) = 184728740


Lets's calculate GCF of 59,70,209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 184728740/1

Therefore the LCM of Fractions 679/59,892/70,305/209 is 184728740

Greatest Common Factor of 59,70,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,70,209 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Greatest Common Factor

We found the factors 59,70,209 . The biggest common factor number is the GCF number.
So the greatest common factor 59,70,209 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 679/59, 892/70, 305/209

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 679/59, 892/70, 305/209?

Answer: LCM of Numerators as per given numbers 679/59, 892/70, 305/209 is

LCM of Numerators i.e. for 679,892,305 is 184728740

GCF of denominators i.e. for 59,70,209 is 1.

Thus, LCM of Fractions is 184728740.Finally, LCM of Fractions for 679/59, 892/70, 305/209 is 184728740.