Least Common Multiple of 3803/22, 7974/583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3803/22, 7974/583 quickly i.e. 30325122/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3803/22, 7974/583 is 30325122/11.

LCM(3803/22, 7974/583) = 30325122/11

LCM of 3803/22, 7974/583

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 3803/22,7974/583

Given numbers are 3803/22,7974/583

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 3803,7974

Least Common Multiple of Numerators i.e. LCM of 3803,7974 is 30325122.

GCF of Denominators means GCF of 22,583 as per the given fractions.

GCF of 22,583 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3803,7974

LCM of Fractions 3803/22,7974/583 is 30325122/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 30325122

Least Common Multiple of 3803,7974 with GCF Formula

Least Common Multiple of 3803,7974 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 3803,7974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3803,7974) = 1

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

GCF(3803,7974) x common factors =1 x 1 = 1

LCM(3803,7974) = ( 3803 × 7974 ) / 1

LCM(3803,7974) = 30325122 / 1

LCM(3803,7974) = 30325122


Lets's calculate GCF of 22,583

11 22, 583
2, 53

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30325122/11

Therefore the LCM of Fractions 3803/22,7974/583 is 30325122/11

Greatest Common Factor of 22,583 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,583 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Greatest Common Factor

We found the factors 22,583 . The biggest common factor number is the GCF number.
So the greatest common factor 22,583 is 11.


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 3803/22, 7974/583

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 3803/22, 7974/583?

Answer: LCM of Numerators as per given numbers 3803/22, 7974/583 is

LCM of Numerators i.e. for 3803,7974 is 30325122

GCF of denominators i.e. for 22,583 is 11.

Thus, LCM of Fractions is 30325122/11.Finally, LCM of Fractions for 3803/22, 7974/583 is 30325122/11.