Least Common Multiple of 23/394, 24/257, 460/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/394, 24/257, 460/531 quickly i.e. 2760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/394, 24/257, 460/531 is 2760.

LCM(23/394, 24/257, 460/531) = 2760

LCM of 23/394, 24/257, 460/531

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 23/394,24/257,460/531

Given numbers are 23/394,24/257,460/531

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 23,24,460

Least Common Multiple of Numerators i.e. LCM of 23,24,460 is 2760.

GCF of Denominators means GCF of 394,257,531 as per the given fractions.

GCF of 394,257,531 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,24,460

LCM of Fractions 23/394,24/257,460/531 is 2760

2 23, 24, 460
2 23, 12, 230
23 23, 6, 115
1, 6, 5

∴ So the LCM of the given numbers is 2 x 2 x 23 x 1 x 6 x 5 = 2760

Least Common Multiple of 23,24,460 with GCF Formula

Least Common Multiple of 23,24,460 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 23,24,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,24,460) = 1

common factors(in case of two or more numbers have common factors) = 92

GCF(23,24,460) x common factors =1 x 92 = 92

LCM(23,24,460) = ( 23 × 24 × 460 ) / 92

LCM(23,24,460) = 253920 / 92

LCM(23,24,460) = 2760


Lets's calculate GCF of 394,257,531

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2760/1

Therefore the LCM of Fractions 23/394,24/257,460/531 is 2760

Greatest Common Factor of 394,257,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,257,531 By Matching Biggest Common Factor Method

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 394,257,531 . The biggest common factor number is the GCF number.
So the greatest common factor 394,257,531 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 23/394, 24/257, 460/531

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 23/394, 24/257, 460/531?

Answer: LCM of Numerators as per given numbers 23/394, 24/257, 460/531 is

LCM of Numerators i.e. for 23,24,460 is 2760

GCF of denominators i.e. for 394,257,531 is 1.

Thus, LCM of Fractions is 2760.Finally, LCM of Fractions for 23/394, 24/257, 460/531 is 2760.