Least Common Multiple of 3072/981, 1986/6480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3072/981, 1986/6480 quickly i.e. 1016832/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3072/981, 1986/6480 is 1016832/9.

LCM(3072/981, 1986/6480) = 1016832/9

LCM of 3072/981, 1986/6480

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 3072/981,1986/6480

Given numbers are 3072/981,1986/6480

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 3072,1986

Least Common Multiple of Numerators i.e. LCM of 3072,1986 is 1016832.

GCF of Denominators means GCF of 981,6480 as per the given fractions.

GCF of 981,6480 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3072,1986

LCM of Fractions 3072/981,1986/6480 is 1016832/9

2 3072, 1986
3 1536, 993
512, 331

∴ So the LCM of the given numbers is 2 x 3 x 512 x 331 = 1016832

Least Common Multiple of 3072,1986 with GCF Formula

Least Common Multiple of 3072,1986 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 3072,1986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3072,1986) = 6

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

GCF(3072,1986) x common factors =6 x 1 = 6

LCM(3072,1986) = ( 3072 × 1986 ) / 6

LCM(3072,1986) = 6100992 / 6

LCM(3072,1986) = 1016832


Lets's calculate GCF of 981,6480

3 981, 6480
3 327, 2160
109, 720

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1016832/9

Therefore the LCM of Fractions 3072/981,1986/6480 is 1016832/9

Greatest Common Factor of 981,6480 By Matching Biggest Common Factor Method

Greatest Common Factor of 981,6480 By Matching Biggest Common Factor Method

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 6480

List of positive integer factors of 6480 that divides 6480 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,36,40,45,48,54,60,72,80,81,90,108,120,135,144,162,180,216,240,270,324,360,405,432,540,648,720,810,1080,1296,1620,2160,3240,6480

Greatest Common Factor

We found the factors 981,6480 . The biggest common factor number is the GCF number.
So the greatest common factor 981,6480 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 3072/981, 1986/6480

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 3072/981, 1986/6480?

Answer: LCM of Numerators as per given numbers 3072/981, 1986/6480 is

LCM of Numerators i.e. for 3072,1986 is 1016832

GCF of denominators i.e. for 981,6480 is 9.

Thus, LCM of Fractions is 1016832/9.Finally, LCM of Fractions for 3072/981, 1986/6480 is 1016832/9.