Least Common Multiple of 7724/888, 8406/9885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7724/888, 8406/9885 quickly i.e. 10821324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7724/888, 8406/9885 is 10821324.

LCM(7724/888, 8406/9885) = 10821324

LCM of 7724/888, 8406/9885

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 7724/888,8406/9885

Given numbers are 7724/888,8406/9885

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 7724,8406

Least Common Multiple of Numerators i.e. LCM of 7724,8406 is 32463972.

GCF of Denominators means GCF of 888,9885 as per the given fractions.

GCF of 888,9885 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7724,8406

LCM of Fractions 7724/888,8406/9885 is 10821324

2 7724, 8406
3862, 4203

∴ So the LCM of the given numbers is 2 x 3862 x 4203 = 32463972

Least Common Multiple of 7724,8406 with GCF Formula

Least Common Multiple of 7724,8406 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 7724,8406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7724,8406) = 2

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

GCF(7724,8406) x common factors =2 x 1 = 2

LCM(7724,8406) = ( 7724 × 8406 ) / 2

LCM(7724,8406) = 64927944 / 2

LCM(7724,8406) = 32463972


Lets's calculate GCF of 888,9885

3 888, 9885
296, 3295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32463972/3

Therefore the LCM of Fractions 7724/888,8406/9885 is 10821324

Greatest Common Factor of 888,9885 By Matching Biggest Common Factor Method

Greatest Common Factor of 888,9885 By Matching Biggest Common Factor Method

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 9885

List of positive integer factors of 9885 that divides 9885 without a remainder.

1,3,5,15,659,1977,3295,9885

Greatest Common Factor

We found the factors 888,9885 . The biggest common factor number is the GCF number.
So the greatest common factor 888,9885 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 7724/888, 8406/9885

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 7724/888, 8406/9885?

Answer: LCM of Numerators as per given numbers 7724/888, 8406/9885 is

LCM of Numerators i.e. for 7724,8406 is 32463972

GCF of denominators i.e. for 888,9885 is 3.

Thus, LCM of Fractions is 10821324.Finally, LCM of Fractions for 7724/888, 8406/9885 is 10821324.