Least Common Multiple of 4787/39, 3108/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4787/39, 3108/442 quickly i.e. 14877996/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4787/39, 3108/442 is 14877996/13.

LCM(4787/39, 3108/442) = 14877996/13

LCM of 4787/39, 3108/442

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 4787/39,3108/442

Given numbers are 4787/39,3108/442

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 4787,3108

Least Common Multiple of Numerators i.e. LCM of 4787,3108 is 14877996.

GCF of Denominators means GCF of 39,442 as per the given fractions.

GCF of 39,442 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4787,3108

LCM of Fractions 4787/39,3108/442 is 14877996/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 14877996

Least Common Multiple of 4787,3108 with GCF Formula

Least Common Multiple of 4787,3108 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 4787,3108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4787,3108) = 1

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

GCF(4787,3108) x common factors =1 x 1 = 1

LCM(4787,3108) = ( 4787 × 3108 ) / 1

LCM(4787,3108) = 14877996 / 1

LCM(4787,3108) = 14877996


Lets's calculate GCF of 39,442

13 39, 442
3, 34

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14877996/13

Therefore the LCM of Fractions 4787/39,3108/442 is 14877996/13

Greatest Common Factor of 39,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,442 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 39,442 . The biggest common factor number is the GCF number.
So the greatest common factor 39,442 is 13.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4787/39, 3108/442

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 4787/39, 3108/442?

Answer: LCM of Numerators as per given numbers 4787/39, 3108/442 is

LCM of Numerators i.e. for 4787,3108 is 14877996

GCF of denominators i.e. for 39,442 is 13.

Thus, LCM of Fractions is 14877996/13.Finally, LCM of Fractions for 4787/39, 3108/442 is 14877996/13.