Least Common Multiple of 3312/986, 5892/2682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3312/986, 5892/2682 quickly i.e. 813096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3312/986, 5892/2682 is 813096.

LCM(3312/986, 5892/2682) = 813096

LCM of 3312/986, 5892/2682

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 3312/986,5892/2682

Given numbers are 3312/986,5892/2682

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 3312,5892

Least Common Multiple of Numerators i.e. LCM of 3312,5892 is 1626192.

GCF of Denominators means GCF of 986,2682 as per the given fractions.

GCF of 986,2682 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3312,5892

LCM of Fractions 3312/986,5892/2682 is 813096

2 3312, 5892
2 1656, 2946
3 828, 1473
276, 491

∴ So the LCM of the given numbers is 2 x 2 x 3 x 276 x 491 = 1626192

Least Common Multiple of 3312,5892 with GCF Formula

Least Common Multiple of 3312,5892 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 3312,5892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3312,5892) = 12

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

GCF(3312,5892) x common factors =12 x 1 = 12

LCM(3312,5892) = ( 3312 × 5892 ) / 12

LCM(3312,5892) = 19514304 / 12

LCM(3312,5892) = 1626192


Lets's calculate GCF of 986,2682

2 986, 2682
493, 1341

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1626192/2

Therefore the LCM of Fractions 3312/986,5892/2682 is 813096

Greatest Common Factor of 986,2682 By Matching Biggest Common Factor Method

Greatest Common Factor of 986,2682 By Matching Biggest Common Factor Method

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 2682

List of positive integer factors of 2682 that divides 2682 without a remainder.

1,2,3,6,9,18,149,298,447,894,1341,2682

Greatest Common Factor

We found the factors 986,2682 . The biggest common factor number is the GCF number.
So the greatest common factor 986,2682 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 3312/986, 5892/2682

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 3312/986, 5892/2682?

Answer: LCM of Numerators as per given numbers 3312/986, 5892/2682 is

LCM of Numerators i.e. for 3312,5892 is 1626192

GCF of denominators i.e. for 986,2682 is 2.

Thus, LCM of Fractions is 813096.Finally, LCM of Fractions for 3312/986, 5892/2682 is 813096.