Least Common Multiple of 709/75, 6798/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 709/75, 6798/994 quickly i.e. 4819782 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 709/75, 6798/994 is 4819782.

LCM(709/75, 6798/994) = 4819782

LCM of 709/75, 6798/994

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 709/75,6798/994

Given numbers are 709/75,6798/994

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 709,6798

Least Common Multiple of Numerators i.e. LCM of 709,6798 is 4819782.

GCF of Denominators means GCF of 75,994 as per the given fractions.

GCF of 75,994 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 709,6798

LCM of Fractions 709/75,6798/994 is 4819782

Given numbers has no common factors except 1. So, there LCM is their product i.e 4819782

Least Common Multiple of 709,6798 with GCF Formula

Least Common Multiple of 709,6798 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 709,6798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,6798) = 1

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

GCF(709,6798) x common factors =1 x 1 = 1

LCM(709,6798) = ( 709 × 6798 ) / 1

LCM(709,6798) = 4819782 / 1

LCM(709,6798) = 4819782


Lets's calculate GCF of 75,994

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4819782/1

Therefore the LCM of Fractions 709/75,6798/994 is 4819782

Greatest Common Factor of 75,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,994 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 75,994 . The biggest common factor number is the GCF number.
So the greatest common factor 75,994 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 709/75, 6798/994

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 709/75, 6798/994?

Answer: LCM of Numerators as per given numbers 709/75, 6798/994 is

LCM of Numerators i.e. for 709,6798 is 4819782

GCF of denominators i.e. for 75,994 is 1.

Thus, LCM of Fractions is 4819782.Finally, LCM of Fractions for 709/75, 6798/994 is 4819782.