Least Common Multiple of 17/24, 424/12, 546/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/24, 424/12, 546/732 quickly i.e. 163982 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/24, 424/12, 546/732 is 163982.

LCM(17/24, 424/12, 546/732) = 163982

LCM of 17/24, 424/12, 546/732

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 17/24,424/12,546/732

Given numbers are 17/24,424/12,546/732

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 17,424,546

Least Common Multiple of Numerators i.e. LCM of 17,424,546 is 1967784.

GCF of Denominators means GCF of 24,12,732 as per the given fractions.

GCF of 24,12,732 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,424,546

LCM of Fractions 17/24,424/12,546/732 is 163982

2 17, 424, 546
17, 212, 273

∴ So the LCM of the given numbers is 2 x 17 x 212 x 273 = 1967784

Least Common Multiple of 17,424,546 with GCF Formula

Least Common Multiple of 17,424,546 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 17,424,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,424,546) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(17,424,546) x common factors =1 x 2 = 2

LCM(17,424,546) = ( 17 × 424 × 546 ) / 2

LCM(17,424,546) = 3935568 / 2

LCM(17,424,546) = 1967784


Lets's calculate GCF of 24,12,732

2 24, 12, 732
2 12, 6, 366
3 3, 6, 183
1, 2, 61

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1967784/12

Therefore the LCM of Fractions 17/24,424/12,546/732 is 163982

Greatest Common Factor of 24,12,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,12,732 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 24,12,732 . The biggest common factor number is the GCF number.
So the greatest common factor 24,12,732 is 12.


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 17/24, 424/12, 546/732

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 17/24, 424/12, 546/732?

Answer: LCM of Numerators as per given numbers 17/24, 424/12, 546/732 is

LCM of Numerators i.e. for 17,424,546 is 1967784

GCF of denominators i.e. for 24,12,732 is 12.

Thus, LCM of Fractions is 163982.Finally, LCM of Fractions for 17/24, 424/12, 546/732 is 163982.