Least Common Multiple of 70/789, 28/498, 809/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/789, 28/498, 809/690 quickly i.e. 113260/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/789, 28/498, 809/690 is 113260/3.

LCM(70/789, 28/498, 809/690) = 113260/3

LCM of 70/789, 28/498, 809/690

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 70/789,28/498,809/690

Given numbers are 70/789,28/498,809/690

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 70,28,809

Least Common Multiple of Numerators i.e. LCM of 70,28,809 is 113260.

GCF of Denominators means GCF of 789,498,690 as per the given fractions.

GCF of 789,498,690 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,28,809

LCM of Fractions 70/789,28/498,809/690 is 113260/3

2 70, 28, 809
7 35, 14, 809
5, 2, 809

∴ So the LCM of the given numbers is 2 x 7 x 5 x 2 x 809 = 113260

Least Common Multiple of 70,28,809 with GCF Formula

Least Common Multiple of 70,28,809 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 70,28,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,28,809) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(70,28,809) x common factors =1 x 14 = 14

LCM(70,28,809) = ( 70 × 28 × 809 ) / 14

LCM(70,28,809) = 1585640 / 14

LCM(70,28,809) = 113260


Lets's calculate GCF of 789,498,690

3 789, 498, 690
263, 166, 230

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113260/3

Therefore the LCM of Fractions 70/789,28/498,809/690 is 113260/3

Greatest Common Factor of 789,498,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 789,498,690 By Matching Biggest Common Factor Method

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 789,498,690 . The biggest common factor number is the GCF number.
So the greatest common factor 789,498,690 is 3.


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 70/789, 28/498, 809/690

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 70/789, 28/498, 809/690?

Answer: LCM of Numerators as per given numbers 70/789, 28/498, 809/690 is

LCM of Numerators i.e. for 70,28,809 is 113260

GCF of denominators i.e. for 789,498,690 is 3.

Thus, LCM of Fractions is 113260/3.Finally, LCM of Fractions for 70/789, 28/498, 809/690 is 113260/3.