Least Common Multiple of 6/30, 46/320, 20/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/30, 46/320, 20/680 quickly i.e. 138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/30, 46/320, 20/680 is 138.

LCM(6/30, 46/320, 20/680) = 138

LCM of 6/30, 46/320, 20/680

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 6/30,46/320,20/680

Given numbers are 6/30,46/320,20/680

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 6,46,20

Least Common Multiple of Numerators i.e. LCM of 6,46,20 is 1380.

GCF of Denominators means GCF of 30,320,680 as per the given fractions.

GCF of 30,320,680 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,46,20

LCM of Fractions 6/30,46/320,20/680 is 138

2 6, 46, 20
3, 23, 10

∴ So the LCM of the given numbers is 2 x 3 x 23 x 10 = 1380

Least Common Multiple of 6,46,20 with GCF Formula

Least Common Multiple of 6,46,20 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 6,46,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,46,20) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(6,46,20) x common factors =2 x 2 = 4

LCM(6,46,20) = ( 6 × 46 × 20 ) / 4

LCM(6,46,20) = 5520 / 4

LCM(6,46,20) = 1380


Lets's calculate GCF of 30,320,680

2 30, 320, 680
5 15, 160, 340
3, 32, 68

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1380/10

Therefore the LCM of Fractions 6/30,46/320,20/680 is 138

Greatest Common Factor of 30,320,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,320,680 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 30,320,680 . The biggest common factor number is the GCF number.
So the greatest common factor 30,320,680 is 10.


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 6/30, 46/320, 20/680

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 6/30, 46/320, 20/680?

Answer: LCM of Numerators as per given numbers 6/30, 46/320, 20/680 is

LCM of Numerators i.e. for 6,46,20 is 1380

GCF of denominators i.e. for 30,320,680 is 10.

Thus, LCM of Fractions is 138.Finally, LCM of Fractions for 6/30, 46/320, 20/680 is 138.