Least Common Multiple of 9242/819, 1282/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9242/819, 1282/882 quickly i.e. 5924122/63 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9242/819, 1282/882 is 5924122/63.

LCM(9242/819, 1282/882) = 5924122/63

LCM of 9242/819, 1282/882

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 9242/819,1282/882

Given numbers are 9242/819,1282/882

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 9242,1282

Least Common Multiple of Numerators i.e. LCM of 9242,1282 is 5924122.

GCF of Denominators means GCF of 819,882 as per the given fractions.

GCF of 819,882 is 63 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9242,1282

LCM of Fractions 9242/819,1282/882 is 5924122/63

2 9242, 1282
4621, 641

∴ So the LCM of the given numbers is 2 x 4621 x 641 = 5924122

Least Common Multiple of 9242,1282 with GCF Formula

Least Common Multiple of 9242,1282 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 9242,1282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9242,1282) = 2

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

GCF(9242,1282) x common factors =2 x 1 = 2

LCM(9242,1282) = ( 9242 × 1282 ) / 2

LCM(9242,1282) = 11848244 / 2

LCM(9242,1282) = 5924122


Lets's calculate GCF of 819,882

3 819, 882
3 273, 294
7 91, 98
13, 14

∴ So the GCF of the given numbers is 3 x 3 x 7 = 63

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5924122/63

Therefore the LCM of Fractions 9242/819,1282/882 is 5924122/63

Greatest Common Factor of 819,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,882 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 819,882 . The biggest common factor number is the GCF number.
So the greatest common factor 819,882 is 63.


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 9242/819, 1282/882

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 9242/819, 1282/882?

Answer: LCM of Numerators as per given numbers 9242/819, 1282/882 is

LCM of Numerators i.e. for 9242,1282 is 5924122

GCF of denominators i.e. for 819,882 is 63.

Thus, LCM of Fractions is 5924122/63.Finally, LCM of Fractions for 9242/819, 1282/882 is 5924122/63.