Least Common Multiple of 676/734, 9296/2082

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 676/734, 9296/2082 quickly i.e. 785512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 676/734, 9296/2082 is 785512.

LCM(676/734, 9296/2082) = 785512

LCM of 676/734, 9296/2082

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 676/734,9296/2082

Given numbers are 676/734,9296/2082

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 676,9296

Least Common Multiple of Numerators i.e. LCM of 676,9296 is 1571024.

GCF of Denominators means GCF of 734,2082 as per the given fractions.

GCF of 734,2082 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 676,9296

LCM of Fractions 676/734,9296/2082 is 785512

2 676, 9296
2 338, 4648
169, 2324

∴ So the LCM of the given numbers is 2 x 2 x 169 x 2324 = 1571024

Least Common Multiple of 676,9296 with GCF Formula

Least Common Multiple of 676,9296 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 676,9296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,9296) = 4

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

GCF(676,9296) x common factors =4 x 1 = 4

LCM(676,9296) = ( 676 × 9296 ) / 4

LCM(676,9296) = 6284096 / 4

LCM(676,9296) = 1571024


Lets's calculate GCF of 734,2082

2 734, 2082
367, 1041

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1571024/2

Therefore the LCM of Fractions 676/734,9296/2082 is 785512

Greatest Common Factor of 734,2082 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,2082 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 2082

List of positive integer factors of 2082 that divides 2082 without a remainder.

1,2,3,6,347,694,1041,2082

Greatest Common Factor

We found the factors 734,2082 . The biggest common factor number is the GCF number.
So the greatest common factor 734,2082 is 2.


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 676/734, 9296/2082

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 676/734, 9296/2082?

Answer: LCM of Numerators as per given numbers 676/734, 9296/2082 is

LCM of Numerators i.e. for 676,9296 is 1571024

GCF of denominators i.e. for 734,2082 is 2.

Thus, LCM of Fractions is 785512.Finally, LCM of Fractions for 676/734, 9296/2082 is 785512.