Least Common Multiple of 3908/855, 6192/7820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3908/855, 6192/7820 quickly i.e. 6049584/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3908/855, 6192/7820 is 6049584/5.

LCM(3908/855, 6192/7820) = 6049584/5

LCM of 3908/855, 6192/7820

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 3908/855,6192/7820

Given numbers are 3908/855,6192/7820

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 3908,6192

Least Common Multiple of Numerators i.e. LCM of 3908,6192 is 6049584.

GCF of Denominators means GCF of 855,7820 as per the given fractions.

GCF of 855,7820 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3908,6192

LCM of Fractions 3908/855,6192/7820 is 6049584/5

2 3908, 6192
2 1954, 3096
977, 1548

∴ So the LCM of the given numbers is 2 x 2 x 977 x 1548 = 6049584

Least Common Multiple of 3908,6192 with GCF Formula

Least Common Multiple of 3908,6192 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 3908,6192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3908,6192) = 4

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

GCF(3908,6192) x common factors =4 x 1 = 4

LCM(3908,6192) = ( 3908 × 6192 ) / 4

LCM(3908,6192) = 24198336 / 4

LCM(3908,6192) = 6049584


Lets's calculate GCF of 855,7820

5 855, 7820
171, 1564

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6049584/5

Therefore the LCM of Fractions 3908/855,6192/7820 is 6049584/5

Greatest Common Factor of 855,7820 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,7820 By Matching Biggest Common Factor Method

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 7820

List of positive integer factors of 7820 that divides 7820 without a remainder.

1,2,4,5,10,17,20,23,34,46,68,85,92,115,170,230,340,391,460,782,1564,1955,3910,7820

Greatest Common Factor

We found the factors 855,7820 . The biggest common factor number is the GCF number.
So the greatest common factor 855,7820 is 5.


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 3908/855, 6192/7820

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 3908/855, 6192/7820?

Answer: LCM of Numerators as per given numbers 3908/855, 6192/7820 is

LCM of Numerators i.e. for 3908,6192 is 6049584

GCF of denominators i.e. for 855,7820 is 5.

Thus, LCM of Fractions is 6049584/5.Finally, LCM of Fractions for 3908/855, 6192/7820 is 6049584/5.