Least Common Multiple of 9872/22, 8338/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9872/22, 8338/778 quickly i.e. 20578184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9872/22, 8338/778 is 20578184.

LCM(9872/22, 8338/778) = 20578184

LCM of 9872/22, 8338/778

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 9872/22,8338/778

Given numbers are 9872/22,8338/778

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 9872,8338

Least Common Multiple of Numerators i.e. LCM of 9872,8338 is 41156368.

GCF of Denominators means GCF of 22,778 as per the given fractions.

GCF of 22,778 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9872,8338

LCM of Fractions 9872/22,8338/778 is 20578184

2 9872, 8338
4936, 4169

∴ So the LCM of the given numbers is 2 x 4936 x 4169 = 41156368

Least Common Multiple of 9872,8338 with GCF Formula

Least Common Multiple of 9872,8338 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 9872,8338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9872,8338) = 2

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

GCF(9872,8338) x common factors =2 x 1 = 2

LCM(9872,8338) = ( 9872 × 8338 ) / 2

LCM(9872,8338) = 82312736 / 2

LCM(9872,8338) = 41156368


Lets's calculate GCF of 22,778

2 22, 778
11, 389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41156368/2

Therefore the LCM of Fractions 9872/22,8338/778 is 20578184

Greatest Common Factor of 22,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,778 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Greatest Common Factor

We found the factors 22,778 . The biggest common factor number is the GCF number.
So the greatest common factor 22,778 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 9872/22, 8338/778

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 9872/22, 8338/778?

Answer: LCM of Numerators as per given numbers 9872/22, 8338/778 is

LCM of Numerators i.e. for 9872,8338 is 41156368

GCF of denominators i.e. for 22,778 is 2.

Thus, LCM of Fractions is 20578184.Finally, LCM of Fractions for 9872/22, 8338/778 is 20578184.