Least Common Multiple of 24/34, 21/32, 464/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/34, 21/32, 464/562 quickly i.e. 4872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/34, 21/32, 464/562 is 4872.

LCM(24/34, 21/32, 464/562) = 4872

LCM of 24/34, 21/32, 464/562

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 24/34,21/32,464/562

Given numbers are 24/34,21/32,464/562

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 24,21,464

Least Common Multiple of Numerators i.e. LCM of 24,21,464 is 9744.

GCF of Denominators means GCF of 34,32,562 as per the given fractions.

GCF of 34,32,562 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,21,464

LCM of Fractions 24/34,21/32,464/562 is 4872

2 24, 21, 464
2 12, 21, 232
2 6, 21, 116
3 3, 21, 58
1, 7, 58

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 7 x 58 = 9744

Least Common Multiple of 24,21,464 with GCF Formula

Least Common Multiple of 24,21,464 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 24,21,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,21,464) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(24,21,464) x common factors =1 x 24 = 24

LCM(24,21,464) = ( 24 × 21 × 464 ) / 24

LCM(24,21,464) = 233856 / 24

LCM(24,21,464) = 9744


Lets's calculate GCF of 34,32,562

2 34, 32, 562
17, 16, 281

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9744/2

Therefore the LCM of Fractions 24/34,21/32,464/562 is 4872

Greatest Common Factor of 34,32,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,32,562 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 34,32,562 . The biggest common factor number is the GCF number.
So the greatest common factor 34,32,562 is 2.


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 24/34, 21/32, 464/562

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 24/34, 21/32, 464/562?

Answer: LCM of Numerators as per given numbers 24/34, 21/32, 464/562 is

LCM of Numerators i.e. for 24,21,464 is 9744

GCF of denominators i.e. for 34,32,562 is 2.

Thus, LCM of Fractions is 4872.Finally, LCM of Fractions for 24/34, 21/32, 464/562 is 4872.