Least Common Multiple of 60/23, 87/47, 609/373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/23, 87/47, 609/373 quickly i.e. 12180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/23, 87/47, 609/373 is 12180.

LCM(60/23, 87/47, 609/373) = 12180

LCM of 60/23, 87/47, 609/373

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 60/23,87/47,609/373

Given numbers are 60/23,87/47,609/373

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 60,87,609

Least Common Multiple of Numerators i.e. LCM of 60,87,609 is 12180.

GCF of Denominators means GCF of 23,47,373 as per the given fractions.

GCF of 23,47,373 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,87,609

LCM of Fractions 60/23,87/47,609/373 is 12180

3 60, 87, 609
29 20, 29, 203
20, 1, 7

∴ So the LCM of the given numbers is 3 x 29 x 20 x 1 x 7 = 12180

Least Common Multiple of 60,87,609 with GCF Formula

Least Common Multiple of 60,87,609 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 60,87,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,87,609) = 3

common factors(in case of two or more numbers have common factors) = 87

GCF(60,87,609) x common factors =3 x 87 = 261

LCM(60,87,609) = ( 60 × 87 × 609 ) / 261

LCM(60,87,609) = 3178980 / 261

LCM(60,87,609) = 12180


Lets's calculate GCF of 23,47,373

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12180/1

Therefore the LCM of Fractions 60/23,87/47,609/373 is 12180

Greatest Common Factor of 23,47,373 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,47,373 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Greatest Common Factor

We found the factors 23,47,373 . The biggest common factor number is the GCF number.
So the greatest common factor 23,47,373 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 60/23, 87/47, 609/373

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 60/23, 87/47, 609/373?

Answer: LCM of Numerators as per given numbers 60/23, 87/47, 609/373 is

LCM of Numerators i.e. for 60,87,609 is 12180

GCF of denominators i.e. for 23,47,373 is 1.

Thus, LCM of Fractions is 12180.Finally, LCM of Fractions for 60/23, 87/47, 609/373 is 12180.