Least Common Multiple of 6746/669, 9144/2734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6746/669, 9144/2734 quickly i.e. 30842712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6746/669, 9144/2734 is 30842712.

LCM(6746/669, 9144/2734) = 30842712

LCM of 6746/669, 9144/2734

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 6746/669,9144/2734

Given numbers are 6746/669,9144/2734

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 6746,9144

Least Common Multiple of Numerators i.e. LCM of 6746,9144 is 30842712.

GCF of Denominators means GCF of 669,2734 as per the given fractions.

GCF of 669,2734 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6746,9144

LCM of Fractions 6746/669,9144/2734 is 30842712

2 6746, 9144
3373, 4572

∴ So the LCM of the given numbers is 2 x 3373 x 4572 = 30842712

Least Common Multiple of 6746,9144 with GCF Formula

Least Common Multiple of 6746,9144 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 6746,9144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6746,9144) = 2

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

GCF(6746,9144) x common factors =2 x 1 = 2

LCM(6746,9144) = ( 6746 × 9144 ) / 2

LCM(6746,9144) = 61685424 / 2

LCM(6746,9144) = 30842712


Lets's calculate GCF of 669,2734

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30842712/1

Therefore the LCM of Fractions 6746/669,9144/2734 is 30842712

Greatest Common Factor of 669,2734 By Matching Biggest Common Factor Method

Greatest Common Factor of 669,2734 By Matching Biggest Common Factor Method

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Factors of 2734

List of positive integer factors of 2734 that divides 2734 without a remainder.

1,2,1367,2734

Greatest Common Factor

We found the factors 669,2734 . The biggest common factor number is the GCF number.
So the greatest common factor 669,2734 is 1.


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 6746/669, 9144/2734

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 6746/669, 9144/2734?

Answer: LCM of Numerators as per given numbers 6746/669, 9144/2734 is

LCM of Numerators i.e. for 6746,9144 is 30842712

GCF of denominators i.e. for 669,2734 is 1.

Thus, LCM of Fractions is 30842712.Finally, LCM of Fractions for 6746/669, 9144/2734 is 30842712.