Least Common Multiple of 738/582, 3476/2766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 738/582, 3476/2766 quickly i.e. 213774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 738/582, 3476/2766 is 213774.

LCM(738/582, 3476/2766) = 213774

LCM of 738/582, 3476/2766

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 738/582,3476/2766

Given numbers are 738/582,3476/2766

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 738,3476

Least Common Multiple of Numerators i.e. LCM of 738,3476 is 1282644.

GCF of Denominators means GCF of 582,2766 as per the given fractions.

GCF of 582,2766 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 738,3476

LCM of Fractions 738/582,3476/2766 is 213774

2 738, 3476
369, 1738

∴ So the LCM of the given numbers is 2 x 369 x 1738 = 1282644

Least Common Multiple of 738,3476 with GCF Formula

Least Common Multiple of 738,3476 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 738,3476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,3476) = 2

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

GCF(738,3476) x common factors =2 x 1 = 2

LCM(738,3476) = ( 738 × 3476 ) / 2

LCM(738,3476) = 2565288 / 2

LCM(738,3476) = 1282644


Lets's calculate GCF of 582,2766

2 582, 2766
3 291, 1383
97, 461

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1282644/6

Therefore the LCM of Fractions 738/582,3476/2766 is 213774

Greatest Common Factor of 582,2766 By Matching Biggest Common Factor Method

Greatest Common Factor of 582,2766 By Matching Biggest Common Factor Method

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 2766

List of positive integer factors of 2766 that divides 2766 without a remainder.

1,2,3,6,461,922,1383,2766

Greatest Common Factor

We found the factors 582,2766 . The biggest common factor number is the GCF number.
So the greatest common factor 582,2766 is 6.


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 738/582, 3476/2766

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 738/582, 3476/2766?

Answer: LCM of Numerators as per given numbers 738/582, 3476/2766 is

LCM of Numerators i.e. for 738,3476 is 1282644

GCF of denominators i.e. for 582,2766 is 6.

Thus, LCM of Fractions is 213774.Finally, LCM of Fractions for 738/582, 3476/2766 is 213774.