Least Common Multiple of 30/684, 7893/1790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/684, 7893/1790 quickly i.e. 39465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/684, 7893/1790 is 39465.

LCM(30/684, 7893/1790) = 39465

LCM of 30/684, 7893/1790

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 30/684,7893/1790

Given numbers are 30/684,7893/1790

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 30,7893

Least Common Multiple of Numerators i.e. LCM of 30,7893 is 78930.

GCF of Denominators means GCF of 684,1790 as per the given fractions.

GCF of 684,1790 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,7893

LCM of Fractions 30/684,7893/1790 is 39465

3 30, 7893
10, 2631

∴ So the LCM of the given numbers is 3 x 10 x 2631 = 78930

Least Common Multiple of 30,7893 with GCF Formula

Least Common Multiple of 30,7893 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 30,7893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,7893) = 3

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

GCF(30,7893) x common factors =3 x 1 = 3

LCM(30,7893) = ( 30 × 7893 ) / 3

LCM(30,7893) = 236790 / 3

LCM(30,7893) = 78930


Lets's calculate GCF of 684,1790

2 684, 1790
342, 895

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78930/2

Therefore the LCM of Fractions 30/684,7893/1790 is 39465

Greatest Common Factor of 684,1790 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,1790 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 1790

List of positive integer factors of 1790 that divides 1790 without a remainder.

1,2,5,10,179,358,895,1790

Greatest Common Factor

We found the factors 684,1790 . The biggest common factor number is the GCF number.
So the greatest common factor 684,1790 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 30/684, 7893/1790

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 30/684, 7893/1790?

Answer: LCM of Numerators as per given numbers 30/684, 7893/1790 is

LCM of Numerators i.e. for 30,7893 is 78930

GCF of denominators i.e. for 684,1790 is 2.

Thus, LCM of Fractions is 39465.Finally, LCM of Fractions for 30/684, 7893/1790 is 39465.