Least Common Multiple of 2417/994, 3834/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2417/994, 3834/903 quickly i.e. 9266778/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2417/994, 3834/903 is 9266778/7.

LCM(2417/994, 3834/903) = 9266778/7

LCM of 2417/994, 3834/903

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 2417/994,3834/903

Given numbers are 2417/994,3834/903

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 2417,3834

Least Common Multiple of Numerators i.e. LCM of 2417,3834 is 9266778.

GCF of Denominators means GCF of 994,903 as per the given fractions.

GCF of 994,903 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2417,3834

LCM of Fractions 2417/994,3834/903 is 9266778/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 9266778

Least Common Multiple of 2417,3834 with GCF Formula

Least Common Multiple of 2417,3834 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 2417,3834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2417,3834) = 1

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

GCF(2417,3834) x common factors =1 x 1 = 1

LCM(2417,3834) = ( 2417 × 3834 ) / 1

LCM(2417,3834) = 9266778 / 1

LCM(2417,3834) = 9266778


Lets's calculate GCF of 994,903

7 994, 903
142, 129

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9266778/7

Therefore the LCM of Fractions 2417/994,3834/903 is 9266778/7

Greatest Common Factor of 994,903 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,903 By Matching Biggest Common Factor Method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Greatest Common Factor

We found the factors 994,903 . The biggest common factor number is the GCF number.
So the greatest common factor 994,903 is 7.


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 2417/994, 3834/903

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 2417/994, 3834/903?

Answer: LCM of Numerators as per given numbers 2417/994, 3834/903 is

LCM of Numerators i.e. for 2417,3834 is 9266778

GCF of denominators i.e. for 994,903 is 7.

Thus, LCM of Fractions is 9266778/7.Finally, LCM of Fractions for 2417/994, 3834/903 is 9266778/7.