Least Common Multiple of 9720/681, 1618/6846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9720/681, 1618/6846 quickly i.e. 2621160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9720/681, 1618/6846 is 2621160.

LCM(9720/681, 1618/6846) = 2621160

LCM of 9720/681, 1618/6846

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 9720/681,1618/6846

Given numbers are 9720/681,1618/6846

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 9720,1618

Least Common Multiple of Numerators i.e. LCM of 9720,1618 is 7863480.

GCF of Denominators means GCF of 681,6846 as per the given fractions.

GCF of 681,6846 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9720,1618

LCM of Fractions 9720/681,1618/6846 is 2621160

2 9720, 1618
4860, 809

∴ So the LCM of the given numbers is 2 x 4860 x 809 = 7863480

Least Common Multiple of 9720,1618 with GCF Formula

Least Common Multiple of 9720,1618 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 9720,1618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9720,1618) = 2

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

GCF(9720,1618) x common factors =2 x 1 = 2

LCM(9720,1618) = ( 9720 × 1618 ) / 2

LCM(9720,1618) = 15726960 / 2

LCM(9720,1618) = 7863480


Lets's calculate GCF of 681,6846

3 681, 6846
227, 2282

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7863480/3

Therefore the LCM of Fractions 9720/681,1618/6846 is 2621160

Greatest Common Factor of 681,6846 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,6846 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

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 681,6846 . The biggest common factor number is the GCF number.
So the greatest common factor 681,6846 is 3.


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 9720/681, 1618/6846

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 9720/681, 1618/6846?

Answer: LCM of Numerators as per given numbers 9720/681, 1618/6846 is

LCM of Numerators i.e. for 9720,1618 is 7863480

GCF of denominators i.e. for 681,6846 is 3.

Thus, LCM of Fractions is 2621160.Finally, LCM of Fractions for 9720/681, 1618/6846 is 2621160.