Least Common Multiple of 852/290, 8816/5828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/290, 8816/5828 quickly i.e. 938904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/290, 8816/5828 is 938904.

LCM(852/290, 8816/5828) = 938904

LCM of 852/290, 8816/5828

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 852/290,8816/5828

Given numbers are 852/290,8816/5828

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 852,8816

Least Common Multiple of Numerators i.e. LCM of 852,8816 is 1877808.

GCF of Denominators means GCF of 290,5828 as per the given fractions.

GCF of 290,5828 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,8816

LCM of Fractions 852/290,8816/5828 is 938904

2 852, 8816
2 426, 4408
213, 2204

∴ So the LCM of the given numbers is 2 x 2 x 213 x 2204 = 1877808

Least Common Multiple of 852,8816 with GCF Formula

Least Common Multiple of 852,8816 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 852,8816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,8816) = 4

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

GCF(852,8816) x common factors =4 x 1 = 4

LCM(852,8816) = ( 852 × 8816 ) / 4

LCM(852,8816) = 7511232 / 4

LCM(852,8816) = 1877808


Lets's calculate GCF of 290,5828

2 290, 5828
145, 2914

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1877808/2

Therefore the LCM of Fractions 852/290,8816/5828 is 938904

Greatest Common Factor of 290,5828 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,5828 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 5828

List of positive integer factors of 5828 that divides 5828 without a remainder.

1,2,4,31,47,62,94,124,188,1457,2914,5828

Greatest Common Factor

We found the factors 290,5828 . The biggest common factor number is the GCF number.
So the greatest common factor 290,5828 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 852/290, 8816/5828

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 852/290, 8816/5828?

Answer: LCM of Numerators as per given numbers 852/290, 8816/5828 is

LCM of Numerators i.e. for 852,8816 is 1877808

GCF of denominators i.e. for 290,5828 is 2.

Thus, LCM of Fractions is 938904.Finally, LCM of Fractions for 852/290, 8816/5828 is 938904.