Least Common Multiple of 1732/24, 7168/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1732/24, 7168/418 quickly i.e. 1551872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1732/24, 7168/418 is 1551872.

LCM(1732/24, 7168/418) = 1551872

LCM of 1732/24, 7168/418

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 1732/24,7168/418

Given numbers are 1732/24,7168/418

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 1732,7168

Least Common Multiple of Numerators i.e. LCM of 1732,7168 is 3103744.

GCF of Denominators means GCF of 24,418 as per the given fractions.

GCF of 24,418 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1732,7168

LCM of Fractions 1732/24,7168/418 is 1551872

2 1732, 7168
2 866, 3584
433, 1792

∴ So the LCM of the given numbers is 2 x 2 x 433 x 1792 = 3103744

Least Common Multiple of 1732,7168 with GCF Formula

Least Common Multiple of 1732,7168 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 1732,7168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1732,7168) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(1732,7168) x common factors =4 x 1 = 4

LCM(1732,7168) = ( 1732 × 7168 ) / 4

LCM(1732,7168) = 12414976 / 4

LCM(1732,7168) = 3103744


Lets's calculate GCF of 24,418

2 24, 418
12, 209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3103744/2

Therefore the LCM of Fractions 1732/24,7168/418 is 1551872

Greatest Common Factor of 24,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,418 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 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 24,418 . The biggest common factor number is the GCF number.
So the greatest common factor 24,418 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 1732/24, 7168/418

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 1732/24, 7168/418?

Answer: LCM of Numerators as per given numbers 1732/24, 7168/418 is

LCM of Numerators i.e. for 1732,7168 is 3103744

GCF of denominators i.e. for 24,418 is 2.

Thus, LCM of Fractions is 1551872.Finally, LCM of Fractions for 1732/24, 7168/418 is 1551872.