Least Common Multiple of 6324/709, 2738/9833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6324/709, 2738/9833 quickly i.e. 8657556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6324/709, 2738/9833 is 8657556.

LCM(6324/709, 2738/9833) = 8657556

LCM of 6324/709, 2738/9833

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 6324/709,2738/9833

Given numbers are 6324/709,2738/9833

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 6324,2738

Least Common Multiple of Numerators i.e. LCM of 6324,2738 is 8657556.

GCF of Denominators means GCF of 709,9833 as per the given fractions.

GCF of 709,9833 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6324,2738

LCM of Fractions 6324/709,2738/9833 is 8657556

2 6324, 2738
3162, 1369

∴ So the LCM of the given numbers is 2 x 3162 x 1369 = 8657556

Least Common Multiple of 6324,2738 with GCF Formula

Least Common Multiple of 6324,2738 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 6324,2738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6324,2738) = 2

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

GCF(6324,2738) x common factors =2 x 1 = 2

LCM(6324,2738) = ( 6324 × 2738 ) / 2

LCM(6324,2738) = 17315112 / 2

LCM(6324,2738) = 8657556


Lets's calculate GCF of 709,9833

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8657556/1

Therefore the LCM of Fractions 6324/709,2738/9833 is 8657556

Greatest Common Factor of 709,9833 By Matching Biggest Common Factor Method

Greatest Common Factor of 709,9833 By Matching Biggest Common Factor Method

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Factors of 9833

List of positive integer factors of 9833 that divides 9833 without a remainder.

1,9833

Greatest Common Factor

We found the factors 709,9833 . The biggest common factor number is the GCF number.
So the greatest common factor 709,9833 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 6324/709, 2738/9833

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 6324/709, 2738/9833?

Answer: LCM of Numerators as per given numbers 6324/709, 2738/9833 is

LCM of Numerators i.e. for 6324,2738 is 8657556

GCF of denominators i.e. for 709,9833 is 1.

Thus, LCM of Fractions is 8657556.Finally, LCM of Fractions for 6324/709, 2738/9833 is 8657556.