Least Common Multiple of 1746/81, 6514/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1746/81, 6514/567 quickly i.e. 5686722/81 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1746/81, 6514/567 is 5686722/81.

LCM(1746/81, 6514/567) = 5686722/81

LCM of 1746/81, 6514/567

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 1746/81,6514/567

Given numbers are 1746/81,6514/567

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 1746,6514

Least Common Multiple of Numerators i.e. LCM of 1746,6514 is 5686722.

GCF of Denominators means GCF of 81,567 as per the given fractions.

GCF of 81,567 is 81 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1746,6514

LCM of Fractions 1746/81,6514/567 is 5686722/81

2 1746, 6514
873, 3257

∴ So the LCM of the given numbers is 2 x 873 x 3257 = 5686722

Least Common Multiple of 1746,6514 with GCF Formula

Least Common Multiple of 1746,6514 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 1746,6514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1746,6514) = 2

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

GCF(1746,6514) x common factors =2 x 1 = 2

LCM(1746,6514) = ( 1746 × 6514 ) / 2

LCM(1746,6514) = 11373444 / 2

LCM(1746,6514) = 5686722


Lets's calculate GCF of 81,567

3 81, 567
3 27, 189
3 9, 63
3 3, 21
1, 7

∴ So the GCF of the given numbers is 3 x 3 x 3 x 3 = 81

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5686722/81

Therefore the LCM of Fractions 1746/81,6514/567 is 5686722/81

Greatest Common Factor of 81,567 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,567 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Greatest Common Factor

We found the factors 81,567 . The biggest common factor number is the GCF number.
So the greatest common factor 81,567 is 81.


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 1746/81, 6514/567

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 1746/81, 6514/567?

Answer: LCM of Numerators as per given numbers 1746/81, 6514/567 is

LCM of Numerators i.e. for 1746,6514 is 5686722

GCF of denominators i.e. for 81,567 is 81.

Thus, LCM of Fractions is 5686722/81.Finally, LCM of Fractions for 1746/81, 6514/567 is 5686722/81.