Least Common Multiple of 28/338, 685/844, 130/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/338, 685/844, 130/860 quickly i.e. 124670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/338, 685/844, 130/860 is 124670.

LCM(28/338, 685/844, 130/860) = 124670

LCM of 28/338, 685/844, 130/860

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 28/338,685/844,130/860

Given numbers are 28/338,685/844,130/860

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 28,685,130

Least Common Multiple of Numerators i.e. LCM of 28,685,130 is 249340.

GCF of Denominators means GCF of 338,844,860 as per the given fractions.

GCF of 338,844,860 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,685,130

LCM of Fractions 28/338,685/844,130/860 is 124670

2 28, 685, 130
5 14, 685, 65
14, 137, 13

∴ So the LCM of the given numbers is 2 x 5 x 14 x 137 x 13 = 249340

Least Common Multiple of 28,685,130 with GCF Formula

Least Common Multiple of 28,685,130 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 28,685,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,685,130) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(28,685,130) x common factors =1 x 10 = 10

LCM(28,685,130) = ( 28 × 685 × 130 ) / 10

LCM(28,685,130) = 2493400 / 10

LCM(28,685,130) = 249340


Lets's calculate GCF of 338,844,860

2 338, 844, 860
169, 422, 430

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 249340/2

Therefore the LCM of Fractions 28/338,685/844,130/860 is 124670

Greatest Common Factor of 338,844,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,844,860 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 338,844,860 . The biggest common factor number is the GCF number.
So the greatest common factor 338,844,860 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 28/338, 685/844, 130/860

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 28/338, 685/844, 130/860?

Answer: LCM of Numerators as per given numbers 28/338, 685/844, 130/860 is

LCM of Numerators i.e. for 28,685,130 is 249340

GCF of denominators i.e. for 338,844,860 is 2.

Thus, LCM of Fractions is 124670.Finally, LCM of Fractions for 28/338, 685/844, 130/860 is 124670.