Least Common Multiple of 20/930, 1476/5113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 20/930, 1476/5113 quickly i.e. 7380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/930, 1476/5113 is 7380.

LCM(20/930, 1476/5113) = 7380

LCM of 20/930, 1476/5113

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 20/930,1476/5113

Given numbers are 20/930,1476/5113

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 20,1476

Least Common Multiple of Numerators i.e. LCM of 20,1476 is 7380.

GCF of Denominators means GCF of 930,5113 as per the given fractions.

GCF of 930,5113 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,1476

LCM of Fractions 20/930,1476/5113 is 7380

2 20, 1476
2 10, 738
5, 369

∴ So the LCM of the given numbers is 2 x 2 x 5 x 369 = 7380

Least Common Multiple of 20,1476 with GCF Formula

Least Common Multiple of 20,1476 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 20,1476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,1476) = 4

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

GCF(20,1476) x common factors =4 x 1 = 4

LCM(20,1476) = ( 20 × 1476 ) / 4

LCM(20,1476) = 29520 / 4

LCM(20,1476) = 7380


Lets's calculate GCF of 930,5113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7380/1

Therefore the LCM of Fractions 20/930,1476/5113 is 7380

Greatest Common Factor of 930,5113 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,5113 By Matching Biggest Common Factor Method

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 5113

List of positive integer factors of 5113 that divides 5113 without a remainder.

1,5113

Greatest Common Factor

We found the factors 930,5113 . The biggest common factor number is the GCF number.
So the greatest common factor 930,5113 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 20/930, 1476/5113

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 20/930, 1476/5113?

Answer: LCM of Numerators as per given numbers 20/930, 1476/5113 is

LCM of Numerators i.e. for 20,1476 is 7380

GCF of denominators i.e. for 930,5113 is 1.

Thus, LCM of Fractions is 7380.Finally, LCM of Fractions for 20/930, 1476/5113 is 7380.