Least Common Multiple of 1744/927, 2512/8082

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1744/927, 2512/8082 quickly i.e. 273808/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1744/927, 2512/8082 is 273808/9.

LCM(1744/927, 2512/8082) = 273808/9

LCM of 1744/927, 2512/8082

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 1744/927,2512/8082

Given numbers are 1744/927,2512/8082

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 1744,2512

Least Common Multiple of Numerators i.e. LCM of 1744,2512 is 273808.

GCF of Denominators means GCF of 927,8082 as per the given fractions.

GCF of 927,8082 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1744,2512

LCM of Fractions 1744/927,2512/8082 is 273808/9

2 1744, 2512
2 872, 1256
2 436, 628
2 218, 314
109, 157

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 109 x 157 = 273808

Least Common Multiple of 1744,2512 with GCF Formula

Least Common Multiple of 1744,2512 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 1744,2512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1744,2512) = 16

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

GCF(1744,2512) x common factors =16 x 1 = 16

LCM(1744,2512) = ( 1744 × 2512 ) / 16

LCM(1744,2512) = 4380928 / 16

LCM(1744,2512) = 273808


Lets's calculate GCF of 927,8082

3 927, 8082
3 309, 2694
103, 898

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 273808/9

Therefore the LCM of Fractions 1744/927,2512/8082 is 273808/9

Greatest Common Factor of 927,8082 By Matching Biggest Common Factor Method

Greatest Common Factor of 927,8082 By Matching Biggest Common Factor Method

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Factors of 8082

List of positive integer factors of 8082 that divides 8082 without a remainder.

1,2,3,6,9,18,449,898,1347,2694,4041,8082

Greatest Common Factor

We found the factors 927,8082 . The biggest common factor number is the GCF number.
So the greatest common factor 927,8082 is 9.


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 1744/927, 2512/8082

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 1744/927, 2512/8082?

Answer: LCM of Numerators as per given numbers 1744/927, 2512/8082 is

LCM of Numerators i.e. for 1744,2512 is 273808

GCF of denominators i.e. for 927,8082 is 9.

Thus, LCM of Fractions is 273808/9.Finally, LCM of Fractions for 1744/927, 2512/8082 is 273808/9.