Least Common Multiple of 15/380, 2988/6846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/380, 2988/6846 quickly i.e. 7470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/380, 2988/6846 is 7470.

LCM(15/380, 2988/6846) = 7470

LCM of 15/380, 2988/6846

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 15/380,2988/6846

Given numbers are 15/380,2988/6846

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 15,2988

Least Common Multiple of Numerators i.e. LCM of 15,2988 is 14940.

GCF of Denominators means GCF of 380,6846 as per the given fractions.

GCF of 380,6846 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,2988

LCM of Fractions 15/380,2988/6846 is 7470

3 15, 2988
5, 996

∴ So the LCM of the given numbers is 3 x 5 x 996 = 14940

Least Common Multiple of 15,2988 with GCF Formula

Least Common Multiple of 15,2988 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 15,2988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,2988) = 3

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

GCF(15,2988) x common factors =3 x 1 = 3

LCM(15,2988) = ( 15 × 2988 ) / 3

LCM(15,2988) = 44820 / 3

LCM(15,2988) = 14940


Lets's calculate GCF of 380,6846

2 380, 6846
190, 3423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14940/2

Therefore the LCM of Fractions 15/380,2988/6846 is 7470

Greatest Common Factor of 380,6846 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,6846 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 6846

List of positive integer factors of 6846 that divides 6846 without a remainder.

1,2,3,6,7,14,21,42,163,326,489,978,1141,2282,3423,6846

Greatest Common Factor

We found the factors 380,6846 . The biggest common factor number is the GCF number.
So the greatest common factor 380,6846 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 15/380, 2988/6846

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 15/380, 2988/6846?

Answer: LCM of Numerators as per given numbers 15/380, 2988/6846 is

LCM of Numerators i.e. for 15,2988 is 14940

GCF of denominators i.e. for 380,6846 is 2.

Thus, LCM of Fractions is 7470.Finally, LCM of Fractions for 15/380, 2988/6846 is 7470.