Least Common Multiple of 942/38, 769/4762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 942/38, 769/4762 quickly i.e. 362199 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 942/38, 769/4762 is 362199.

LCM(942/38, 769/4762) = 362199

LCM of 942/38, 769/4762

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 942/38,769/4762

Given numbers are 942/38,769/4762

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 942,769

Least Common Multiple of Numerators i.e. LCM of 942,769 is 724398.

GCF of Denominators means GCF of 38,4762 as per the given fractions.

GCF of 38,4762 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 942,769

LCM of Fractions 942/38,769/4762 is 362199

Given numbers has no common factors except 1. So, there LCM is their product i.e 724398

Least Common Multiple of 942,769 with GCF Formula

Least Common Multiple of 942,769 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 942,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,769) = 1

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

GCF(942,769) x common factors =1 x 1 = 1

LCM(942,769) = ( 942 × 769 ) / 1

LCM(942,769) = 724398 / 1

LCM(942,769) = 724398


Lets's calculate GCF of 38,4762

2 38, 4762
19, 2381

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 724398/2

Therefore the LCM of Fractions 942/38,769/4762 is 362199

Greatest Common Factor of 38,4762 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,4762 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 4762

List of positive integer factors of 4762 that divides 4762 without a remainder.

1,2,2381,4762

Greatest Common Factor

We found the factors 38,4762 . The biggest common factor number is the GCF number.
So the greatest common factor 38,4762 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 942/38, 769/4762

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 942/38, 769/4762?

Answer: LCM of Numerators as per given numbers 942/38, 769/4762 is

LCM of Numerators i.e. for 942,769 is 724398

GCF of denominators i.e. for 38,4762 is 2.

Thus, LCM of Fractions is 362199.Finally, LCM of Fractions for 942/38, 769/4762 is 362199.