Least Common Multiple of 5834/250, 9944/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5834/250, 9944/822 quickly i.e. 14503324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5834/250, 9944/822 is 14503324.

LCM(5834/250, 9944/822) = 14503324

LCM of 5834/250, 9944/822

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 5834/250,9944/822

Given numbers are 5834/250,9944/822

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 5834,9944

Least Common Multiple of Numerators i.e. LCM of 5834,9944 is 29006648.

GCF of Denominators means GCF of 250,822 as per the given fractions.

GCF of 250,822 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5834,9944

LCM of Fractions 5834/250,9944/822 is 14503324

2 5834, 9944
2917, 4972

∴ So the LCM of the given numbers is 2 x 2917 x 4972 = 29006648

Least Common Multiple of 5834,9944 with GCF Formula

Least Common Multiple of 5834,9944 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 5834,9944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5834,9944) = 2

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

GCF(5834,9944) x common factors =2 x 1 = 2

LCM(5834,9944) = ( 5834 × 9944 ) / 2

LCM(5834,9944) = 58013296 / 2

LCM(5834,9944) = 29006648


Lets's calculate GCF of 250,822

2 250, 822
125, 411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29006648/2

Therefore the LCM of Fractions 5834/250,9944/822 is 14503324

Greatest Common Factor of 250,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,822 By Matching Biggest Common Factor Method

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 250,822 . The biggest common factor number is the GCF number.
So the greatest common factor 250,822 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 5834/250, 9944/822

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 5834/250, 9944/822?

Answer: LCM of Numerators as per given numbers 5834/250, 9944/822 is

LCM of Numerators i.e. for 5834,9944 is 29006648

GCF of denominators i.e. for 250,822 is 2.

Thus, LCM of Fractions is 14503324.Finally, LCM of Fractions for 5834/250, 9944/822 is 14503324.