Least Common Multiple of 511/38, 9038/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 511/38, 9038/790 quickly i.e. 2309209 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 511/38, 9038/790 is 2309209.

LCM(511/38, 9038/790) = 2309209

LCM of 511/38, 9038/790

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 511/38,9038/790

Given numbers are 511/38,9038/790

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 511,9038

Least Common Multiple of Numerators i.e. LCM of 511,9038 is 4618418.

GCF of Denominators means GCF of 38,790 as per the given fractions.

GCF of 38,790 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 511,9038

LCM of Fractions 511/38,9038/790 is 2309209

Given numbers has no common factors except 1. So, there LCM is their product i.e 4618418

Least Common Multiple of 511,9038 with GCF Formula

Least Common Multiple of 511,9038 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 511,9038 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(511,9038) = 1

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

GCF(511,9038) x common factors =1 x 1 = 1

LCM(511,9038) = ( 511 × 9038 ) / 1

LCM(511,9038) = 4618418 / 1

LCM(511,9038) = 4618418


Lets's calculate GCF of 38,790

2 38, 790
19, 395

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4618418/2

Therefore the LCM of Fractions 511/38,9038/790 is 2309209

Greatest Common Factor of 38,790 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,790 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Greatest Common Factor

We found the factors 38,790 . The biggest common factor number is the GCF number.
So the greatest common factor 38,790 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 511/38, 9038/790

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 511/38, 9038/790?

Answer: LCM of Numerators as per given numbers 511/38, 9038/790 is

LCM of Numerators i.e. for 511,9038 is 4618418

GCF of denominators i.e. for 38,790 is 2.

Thus, LCM of Fractions is 2309209.Finally, LCM of Fractions for 511/38, 9038/790 is 2309209.