Least Common Multiple of 140/20, 853/10, 905/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 140/20, 853/10, 905/873 quickly i.e. 21615020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 140/20, 853/10, 905/873 is 21615020.

LCM(140/20, 853/10, 905/873) = 21615020

LCM of 140/20, 853/10, 905/873

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 140/20,853/10,905/873

Given numbers are 140/20,853/10,905/873

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 140,853,905

Least Common Multiple of Numerators i.e. LCM of 140,853,905 is 21615020.

GCF of Denominators means GCF of 20,10,873 as per the given fractions.

GCF of 20,10,873 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 140,853,905

LCM of Fractions 140/20,853/10,905/873 is 21615020

5 140, 853, 905
28, 853, 181

∴ So the LCM of the given numbers is 5 x 28 x 853 x 181 = 21615020

Least Common Multiple of 140,853,905 with GCF Formula

Least Common Multiple of 140,853,905 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 140,853,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,853,905) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(140,853,905) x common factors =1 x 5 = 5

LCM(140,853,905) = ( 140 × 853 × 905 ) / 5

LCM(140,853,905) = 108075100 / 5

LCM(140,853,905) = 21615020


Lets's calculate GCF of 20,10,873

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21615020/1

Therefore the LCM of Fractions 140/20,853/10,905/873 is 21615020

Greatest Common Factor of 20,10,873 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,10,873 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 10

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

1,2,5,10

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Greatest Common Factor

We found the factors 20,10,873 . The biggest common factor number is the GCF number.
So the greatest common factor 20,10,873 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 140/20, 853/10, 905/873

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 140/20, 853/10, 905/873?

Answer: LCM of Numerators as per given numbers 140/20, 853/10, 905/873 is

LCM of Numerators i.e. for 140,853,905 is 21615020

GCF of denominators i.e. for 20,10,873 is 1.

Thus, LCM of Fractions is 21615020.Finally, LCM of Fractions for 140/20, 853/10, 905/873 is 21615020.