Least Common Multiple of 8449/828, 9822/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8449/828, 9822/600 quickly i.e. 82986078/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8449/828, 9822/600 is 82986078/12.

LCM(8449/828, 9822/600) = 82986078/12

LCM of 8449/828, 9822/600

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 8449/828,9822/600

Given numbers are 8449/828,9822/600

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 8449,9822

Least Common Multiple of Numerators i.e. LCM of 8449,9822 is 82986078.

GCF of Denominators means GCF of 828,600 as per the given fractions.

GCF of 828,600 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8449,9822

LCM of Fractions 8449/828,9822/600 is 82986078/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 82986078

Least Common Multiple of 8449,9822 with GCF Formula

Least Common Multiple of 8449,9822 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 8449,9822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8449,9822) = 1

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

GCF(8449,9822) x common factors =1 x 1 = 1

LCM(8449,9822) = ( 8449 × 9822 ) / 1

LCM(8449,9822) = 82986078 / 1

LCM(8449,9822) = 82986078


Lets's calculate GCF of 828,600

2 828, 600
2 414, 300
3 207, 150
69, 50

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82986078/12

Therefore the LCM of Fractions 8449/828,9822/600 is 82986078/12

Greatest Common Factor of 828,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,600 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 828,600 . The biggest common factor number is the GCF number.
So the greatest common factor 828,600 is 12.


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 8449/828, 9822/600

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 8449/828, 9822/600?

Answer: LCM of Numerators as per given numbers 8449/828, 9822/600 is

LCM of Numerators i.e. for 8449,9822 is 82986078

GCF of denominators i.e. for 828,600 is 12.

Thus, LCM of Fractions is 82986078/12.Finally, LCM of Fractions for 8449/828, 9822/600 is 82986078/12.