Least Common Multiple of 6738/210, 8079/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6738/210, 8079/784 quickly i.e. 18145434/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6738/210, 8079/784 is 18145434/14.

LCM(6738/210, 8079/784) = 18145434/14

LCM of 6738/210, 8079/784

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 6738/210,8079/784

Given numbers are 6738/210,8079/784

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 6738,8079

Least Common Multiple of Numerators i.e. LCM of 6738,8079 is 18145434.

GCF of Denominators means GCF of 210,784 as per the given fractions.

GCF of 210,784 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6738,8079

LCM of Fractions 6738/210,8079/784 is 18145434/14

3 6738, 8079
2246, 2693

∴ So the LCM of the given numbers is 3 x 2246 x 2693 = 18145434

Least Common Multiple of 6738,8079 with GCF Formula

Least Common Multiple of 6738,8079 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 6738,8079 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6738,8079) = 3

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

GCF(6738,8079) x common factors =3 x 1 = 3

LCM(6738,8079) = ( 6738 × 8079 ) / 3

LCM(6738,8079) = 54436302 / 3

LCM(6738,8079) = 18145434


Lets's calculate GCF of 210,784

2 210, 784
7 105, 392
15, 56

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18145434/14

Therefore the LCM of Fractions 6738/210,8079/784 is 18145434/14

Greatest Common Factor of 210,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,784 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 210,784 . The biggest common factor number is the GCF number.
So the greatest common factor 210,784 is 14.


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 6738/210, 8079/784

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 6738/210, 8079/784?

Answer: LCM of Numerators as per given numbers 6738/210, 8079/784 is

LCM of Numerators i.e. for 6738,8079 is 18145434

GCF of denominators i.e. for 210,784 is 14.

Thus, LCM of Fractions is 18145434/14.Finally, LCM of Fractions for 6738/210, 8079/784 is 18145434/14.