Least Common Multiple of 844/75, 852/8364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 844/75, 852/8364 quickly i.e. 59924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 844/75, 852/8364 is 59924.

LCM(844/75, 852/8364) = 59924

LCM of 844/75, 852/8364

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 844/75,852/8364

Given numbers are 844/75,852/8364

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 844,852

Least Common Multiple of Numerators i.e. LCM of 844,852 is 179772.

GCF of Denominators means GCF of 75,8364 as per the given fractions.

GCF of 75,8364 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 844,852

LCM of Fractions 844/75,852/8364 is 59924

2 844, 852
2 422, 426
211, 213

∴ So the LCM of the given numbers is 2 x 2 x 211 x 213 = 179772

Least Common Multiple of 844,852 with GCF Formula

Least Common Multiple of 844,852 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 844,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(844,852) = 4

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

GCF(844,852) x common factors =4 x 1 = 4

LCM(844,852) = ( 844 × 852 ) / 4

LCM(844,852) = 719088 / 4

LCM(844,852) = 179772


Lets's calculate GCF of 75,8364

3 75, 8364
25, 2788

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179772/3

Therefore the LCM of Fractions 844/75,852/8364 is 59924

Greatest Common Factor of 75,8364 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,8364 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 8364

List of positive integer factors of 8364 that divides 8364 without a remainder.

1,2,3,4,6,12,17,34,41,51,68,82,102,123,164,204,246,492,697,1394,2091,2788,4182,8364

Greatest Common Factor

We found the factors 75,8364 . The biggest common factor number is the GCF number.
So the greatest common factor 75,8364 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 844/75, 852/8364

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 844/75, 852/8364?

Answer: LCM of Numerators as per given numbers 844/75, 852/8364 is

LCM of Numerators i.e. for 844,852 is 179772

GCF of denominators i.e. for 75,8364 is 3.

Thus, LCM of Fractions is 59924.Finally, LCM of Fractions for 844/75, 852/8364 is 59924.