Least Common Multiple of 3102/315, 4785/5832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3102/315, 4785/5832 quickly i.e. 449790/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3102/315, 4785/5832 is 449790/9.

LCM(3102/315, 4785/5832) = 449790/9

LCM of 3102/315, 4785/5832

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 3102/315,4785/5832

Given numbers are 3102/315,4785/5832

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 3102,4785

Least Common Multiple of Numerators i.e. LCM of 3102,4785 is 449790.

GCF of Denominators means GCF of 315,5832 as per the given fractions.

GCF of 315,5832 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3102,4785

LCM of Fractions 3102/315,4785/5832 is 449790/9

3 3102, 4785
11 1034, 1595
94, 145

∴ So the LCM of the given numbers is 3 x 11 x 94 x 145 = 449790

Least Common Multiple of 3102,4785 with GCF Formula

Least Common Multiple of 3102,4785 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 3102,4785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3102,4785) = 33

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

GCF(3102,4785) x common factors =33 x 1 = 33

LCM(3102,4785) = ( 3102 × 4785 ) / 33

LCM(3102,4785) = 14843070 / 33

LCM(3102,4785) = 449790


Lets's calculate GCF of 315,5832

3 315, 5832
3 105, 1944
35, 648

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 449790/9

Therefore the LCM of Fractions 3102/315,4785/5832 is 449790/9

Greatest Common Factor of 315,5832 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,5832 By Matching Biggest Common Factor Method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 5832

List of positive integer factors of 5832 that divides 5832 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,243,324,486,648,729,972,1458,1944,2916,5832

Greatest Common Factor

We found the factors 315,5832 . The biggest common factor number is the GCF number.
So the greatest common factor 315,5832 is 9.


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 3102/315, 4785/5832

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 3102/315, 4785/5832?

Answer: LCM of Numerators as per given numbers 3102/315, 4785/5832 is

LCM of Numerators i.e. for 3102,4785 is 449790

GCF of denominators i.e. for 315,5832 is 9.

Thus, LCM of Fractions is 449790/9.Finally, LCM of Fractions for 3102/315, 4785/5832 is 449790/9.