Least Common Multiple of 6734/717, 6872/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6734/717, 6872/537 quickly i.e. 23138024/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6734/717, 6872/537 is 23138024/3.

LCM(6734/717, 6872/537) = 23138024/3

LCM of 6734/717, 6872/537

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 6734/717,6872/537

Given numbers are 6734/717,6872/537

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 6734,6872

Least Common Multiple of Numerators i.e. LCM of 6734,6872 is 23138024.

GCF of Denominators means GCF of 717,537 as per the given fractions.

GCF of 717,537 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6734,6872

LCM of Fractions 6734/717,6872/537 is 23138024/3

2 6734, 6872
3367, 3436

∴ So the LCM of the given numbers is 2 x 3367 x 3436 = 23138024

Least Common Multiple of 6734,6872 with GCF Formula

Least Common Multiple of 6734,6872 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 6734,6872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6734,6872) = 2

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

GCF(6734,6872) x common factors =2 x 1 = 2

LCM(6734,6872) = ( 6734 × 6872 ) / 2

LCM(6734,6872) = 46276048 / 2

LCM(6734,6872) = 23138024


Lets's calculate GCF of 717,537

3 717, 537
239, 179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23138024/3

Therefore the LCM of Fractions 6734/717,6872/537 is 23138024/3

Greatest Common Factor of 717,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 717,537 By Matching Biggest Common Factor Method

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 717,537 . The biggest common factor number is the GCF number.
So the greatest common factor 717,537 is 3.


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 6734/717, 6872/537

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 6734/717, 6872/537?

Answer: LCM of Numerators as per given numbers 6734/717, 6872/537 is

LCM of Numerators i.e. for 6734,6872 is 23138024

GCF of denominators i.e. for 717,537 is 3.

Thus, LCM of Fractions is 23138024/3.Finally, LCM of Fractions for 6734/717, 6872/537 is 23138024/3.