Least Common Multiple of 30/54, 19/50, 20/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 30/54, 19/50, 20/766 quickly i.e. 570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/54, 19/50, 20/766 is 570.

LCM(30/54, 19/50, 20/766) = 570

LCM of 30/54, 19/50, 20/766

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 30/54,19/50,20/766

Given numbers are 30/54,19/50,20/766

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 30,19,20

Least Common Multiple of Numerators i.e. LCM of 30,19,20 is 1140.

GCF of Denominators means GCF of 54,50,766 as per the given fractions.

GCF of 54,50,766 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,19,20

LCM of Fractions 30/54,19/50,20/766 is 570

2 30, 19, 20
5 15, 19, 10
3, 19, 2

∴ So the LCM of the given numbers is 2 x 5 x 3 x 19 x 2 = 1140

Least Common Multiple of 30,19,20 with GCF Formula

Least Common Multiple of 30,19,20 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 30,19,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,19,20) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(30,19,20) x common factors =1 x 10 = 10

LCM(30,19,20) = ( 30 × 19 × 20 ) / 10

LCM(30,19,20) = 11400 / 10

LCM(30,19,20) = 1140


Lets's calculate GCF of 54,50,766

2 54, 50, 766
27, 25, 383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1140/2

Therefore the LCM of Fractions 30/54,19/50,20/766 is 570

Greatest Common Factor of 54,50,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,50,766 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 54,50,766 . The biggest common factor number is the GCF number.
So the greatest common factor 54,50,766 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 30/54, 19/50, 20/766

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 30/54, 19/50, 20/766?

Answer: LCM of Numerators as per given numbers 30/54, 19/50, 20/766 is

LCM of Numerators i.e. for 30,19,20 is 1140

GCF of denominators i.e. for 54,50,766 is 2.

Thus, LCM of Fractions is 570.Finally, LCM of Fractions for 30/54, 19/50, 20/766 is 570.