Least Common Multiple of 23/873, 880/316, 969/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/873, 880/316, 969/892 quickly i.e. 19612560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/873, 880/316, 969/892 is 19612560.

LCM(23/873, 880/316, 969/892) = 19612560

LCM of 23/873, 880/316, 969/892

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 23/873,880/316,969/892

Given numbers are 23/873,880/316,969/892

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 23,880,969

Least Common Multiple of Numerators i.e. LCM of 23,880,969 is 19612560.

GCF of Denominators means GCF of 873,316,892 as per the given fractions.

GCF of 873,316,892 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,880,969

LCM of Fractions 23/873,880/316,969/892 is 19612560

Given numbers has no common factors except 1. So, there LCM is their product i.e 19612560

Least Common Multiple of 23,880,969 with GCF Formula

Least Common Multiple of 23,880,969 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 23,880,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,880,969) = 1

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

GCF(23,880,969) x common factors =1 x 1 = 1

LCM(23,880,969) = ( 23 × 880 × 969 ) / 1

LCM(23,880,969) = 19612560 / 1

LCM(23,880,969) = 19612560


Lets's calculate GCF of 873,316,892

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19612560/1

Therefore the LCM of Fractions 23/873,880/316,969/892 is 19612560

Greatest Common Factor of 873,316,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 873,316,892 By Matching Biggest Common Factor Method

Factors of 873

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

1,3,9,97,291,873

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 873,316,892 . The biggest common factor number is the GCF number.
So the greatest common factor 873,316,892 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 23/873, 880/316, 969/892

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 23/873, 880/316, 969/892?

Answer: LCM of Numerators as per given numbers 23/873, 880/316, 969/892 is

LCM of Numerators i.e. for 23,880,969 is 19612560

GCF of denominators i.e. for 873,316,892 is 1.

Thus, LCM of Fractions is 19612560.Finally, LCM of Fractions for 23/873, 880/316, 969/892 is 19612560.