Least Common Multiple of 23/301, 35/540, 924/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/301, 35/540, 924/570 quickly i.e. 106260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/301, 35/540, 924/570 is 106260.

LCM(23/301, 35/540, 924/570) = 106260

LCM of 23/301, 35/540, 924/570

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 23/301,35/540,924/570

Given numbers are 23/301,35/540,924/570

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 23,35,924

Least Common Multiple of Numerators i.e. LCM of 23,35,924 is 106260.

GCF of Denominators means GCF of 301,540,570 as per the given fractions.

GCF of 301,540,570 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,35,924

LCM of Fractions 23/301,35/540,924/570 is 106260

7 23, 35, 924
23, 5, 132

∴ So the LCM of the given numbers is 7 x 23 x 5 x 132 = 106260

Least Common Multiple of 23,35,924 with GCF Formula

Least Common Multiple of 23,35,924 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 23,35,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,35,924) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(23,35,924) x common factors =1 x 7 = 7

LCM(23,35,924) = ( 23 × 35 × 924 ) / 7

LCM(23,35,924) = 743820 / 7

LCM(23,35,924) = 106260


Lets's calculate GCF of 301,540,570

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106260/1

Therefore the LCM of Fractions 23/301,35/540,924/570 is 106260

Greatest Common Factor of 301,540,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 301,540,570 By Matching Biggest Common Factor Method

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 301,540,570 . The biggest common factor number is the GCF number.
So the greatest common factor 301,540,570 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 23/301, 35/540, 924/570

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 23/301, 35/540, 924/570?

Answer: LCM of Numerators as per given numbers 23/301, 35/540, 924/570 is

LCM of Numerators i.e. for 23,35,924 is 106260

GCF of denominators i.e. for 301,540,570 is 1.

Thus, LCM of Fractions is 106260.Finally, LCM of Fractions for 23/301, 35/540, 924/570 is 106260.