Least Common Multiple of 23/872, 706/743, 115/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/872, 706/743, 115/342 quickly i.e. 81190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/872, 706/743, 115/342 is 81190.

LCM(23/872, 706/743, 115/342) = 81190

LCM of 23/872, 706/743, 115/342

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 23/872,706/743,115/342

Given numbers are 23/872,706/743,115/342

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 23,706,115

Least Common Multiple of Numerators i.e. LCM of 23,706,115 is 81190.

GCF of Denominators means GCF of 872,743,342 as per the given fractions.

GCF of 872,743,342 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,706,115

LCM of Fractions 23/872,706/743,115/342 is 81190

23 23, 706, 115
1, 706, 5

∴ So the LCM of the given numbers is 23 x 1 x 706 x 5 = 81190

Least Common Multiple of 23,706,115 with GCF Formula

Least Common Multiple of 23,706,115 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 23,706,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,706,115) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(23,706,115) x common factors =1 x 23 = 23

LCM(23,706,115) = ( 23 × 706 × 115 ) / 23

LCM(23,706,115) = 1867370 / 23

LCM(23,706,115) = 81190


Lets's calculate GCF of 872,743,342

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81190/1

Therefore the LCM of Fractions 23/872,706/743,115/342 is 81190

Greatest Common Factor of 872,743,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,743,342 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 872,743,342 . The biggest common factor number is the GCF number.
So the greatest common factor 872,743,342 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 23/872, 706/743, 115/342

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 23/872, 706/743, 115/342?

Answer: LCM of Numerators as per given numbers 23/872, 706/743, 115/342 is

LCM of Numerators i.e. for 23,706,115 is 81190

GCF of denominators i.e. for 872,743,342 is 1.

Thus, LCM of Fractions is 81190.Finally, LCM of Fractions for 23/872, 706/743, 115/342 is 81190.