Least Common Multiple of 23/645, 99/861, 820/899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 23/645, 99/861, 820/899 quickly i.e. 1867140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/645, 99/861, 820/899 is 1867140.

LCM(23/645, 99/861, 820/899) = 1867140

LCM of 23/645, 99/861, 820/899

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 23/645,99/861,820/899

Given numbers are 23/645,99/861,820/899

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 23,99,820

Least Common Multiple of Numerators i.e. LCM of 23,99,820 is 1867140.

GCF of Denominators means GCF of 645,861,899 as per the given fractions.

GCF of 645,861,899 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,99,820

LCM of Fractions 23/645,99/861,820/899 is 1867140

Given numbers has no common factors except 1. So, there LCM is their product i.e 1867140

Least Common Multiple of 23,99,820 with GCF Formula

Least Common Multiple of 23,99,820 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 23,99,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,99,820) = 1

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

GCF(23,99,820) x common factors =1 x 1 = 1

LCM(23,99,820) = ( 23 × 99 × 820 ) / 1

LCM(23,99,820) = 1867140 / 1

LCM(23,99,820) = 1867140


Lets's calculate GCF of 645,861,899

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1867140/1

Therefore the LCM of Fractions 23/645,99/861,820/899 is 1867140

Greatest Common Factor of 645,861,899 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,861,899 By Matching Biggest Common Factor Method

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Greatest Common Factor

We found the factors 645,861,899 . The biggest common factor number is the GCF number.
So the greatest common factor 645,861,899 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 23/645, 99/861, 820/899

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 23/645, 99/861, 820/899?

Answer: LCM of Numerators as per given numbers 23/645, 99/861, 820/899 is

LCM of Numerators i.e. for 23,99,820 is 1867140

GCF of denominators i.e. for 645,861,899 is 1.

Thus, LCM of Fractions is 1867140.Finally, LCM of Fractions for 23/645, 99/861, 820/899 is 1867140.