Least Common Multiple of 3839/630, 7160/9135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3839/630, 7160/9135 quickly i.e. 27487240/315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3839/630, 7160/9135 is 27487240/315.

LCM(3839/630, 7160/9135) = 27487240/315

LCM of 3839/630, 7160/9135

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 3839/630,7160/9135

Given numbers are 3839/630,7160/9135

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 3839,7160

Least Common Multiple of Numerators i.e. LCM of 3839,7160 is 27487240.

GCF of Denominators means GCF of 630,9135 as per the given fractions.

GCF of 630,9135 is 315 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3839,7160

LCM of Fractions 3839/630,7160/9135 is 27487240/315

Given numbers has no common factors except 1. So, there LCM is their product i.e 27487240

Least Common Multiple of 3839,7160 with GCF Formula

Least Common Multiple of 3839,7160 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 3839,7160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3839,7160) = 1

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

GCF(3839,7160) x common factors =1 x 1 = 1

LCM(3839,7160) = ( 3839 × 7160 ) / 1

LCM(3839,7160) = 27487240 / 1

LCM(3839,7160) = 27487240


Lets's calculate GCF of 630,9135

3 630, 9135
3 210, 3045
5 70, 1015
7 14, 203
2, 29

∴ So the GCF of the given numbers is 3 x 3 x 5 x 7 = 315

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27487240/315

Therefore the LCM of Fractions 3839/630,7160/9135 is 27487240/315

Greatest Common Factor of 630,9135 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,9135 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 9135

List of positive integer factors of 9135 that divides 9135 without a remainder.

1,3,5,7,9,15,21,29,35,45,63,87,105,145,203,261,315,435,609,1015,1305,1827,3045,9135

Greatest Common Factor

We found the factors 630,9135 . The biggest common factor number is the GCF number.
So the greatest common factor 630,9135 is 315.


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 3839/630, 7160/9135

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 3839/630, 7160/9135?

Answer: LCM of Numerators as per given numbers 3839/630, 7160/9135 is

LCM of Numerators i.e. for 3839,7160 is 27487240

GCF of denominators i.e. for 630,9135 is 315.

Thus, LCM of Fractions is 27487240/315.Finally, LCM of Fractions for 3839/630, 7160/9135 is 27487240/315.