Least Common Multiple of 1744/572, 8938/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1744/572, 8938/234 quickly i.e. 71504/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1744/572, 8938/234 is 71504/26.

LCM(1744/572, 8938/234) = 71504/26

LCM of 1744/572, 8938/234

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 1744/572,8938/234

Given numbers are 1744/572,8938/234

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 1744,8938

Least Common Multiple of Numerators i.e. LCM of 1744,8938 is 71504.

GCF of Denominators means GCF of 572,234 as per the given fractions.

GCF of 572,234 is 26 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1744,8938

LCM of Fractions 1744/572,8938/234 is 71504/26

2 1744, 8938
109 872, 4469
8, 41

∴ So the LCM of the given numbers is 2 x 109 x 8 x 41 = 71504

Least Common Multiple of 1744,8938 with GCF Formula

Least Common Multiple of 1744,8938 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 1744,8938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1744,8938) = 218

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

GCF(1744,8938) x common factors =218 x 1 = 218

LCM(1744,8938) = ( 1744 × 8938 ) / 218

LCM(1744,8938) = 15587872 / 218

LCM(1744,8938) = 71504


Lets's calculate GCF of 572,234

2 572, 234
13 286, 117
22, 9

∴ So the GCF of the given numbers is 2 x 13 = 26

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71504/26

Therefore the LCM of Fractions 1744/572,8938/234 is 71504/26

Greatest Common Factor of 572,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,234 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 572,234 . The biggest common factor number is the GCF number.
So the greatest common factor 572,234 is 26.


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 1744/572, 8938/234

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 1744/572, 8938/234?

Answer: LCM of Numerators as per given numbers 1744/572, 8938/234 is

LCM of Numerators i.e. for 1744,8938 is 71504

GCF of denominators i.e. for 572,234 is 26.

Thus, LCM of Fractions is 71504/26.Finally, LCM of Fractions for 1744/572, 8938/234 is 71504/26.