Least Common Multiple of 4638/909, 6661/803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4638/909, 6661/803 quickly i.e. 30893718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4638/909, 6661/803 is 30893718.

LCM(4638/909, 6661/803) = 30893718

LCM of 4638/909, 6661/803

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 4638/909,6661/803

Given numbers are 4638/909,6661/803

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 4638,6661

Least Common Multiple of Numerators i.e. LCM of 4638,6661 is 30893718.

GCF of Denominators means GCF of 909,803 as per the given fractions.

GCF of 909,803 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4638,6661

LCM of Fractions 4638/909,6661/803 is 30893718

Given numbers has no common factors except 1. So, there LCM is their product i.e 30893718

Least Common Multiple of 4638,6661 with GCF Formula

Least Common Multiple of 4638,6661 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 4638,6661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4638,6661) = 1

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

GCF(4638,6661) x common factors =1 x 1 = 1

LCM(4638,6661) = ( 4638 × 6661 ) / 1

LCM(4638,6661) = 30893718 / 1

LCM(4638,6661) = 30893718


Lets's calculate GCF of 909,803

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30893718/1

Therefore the LCM of Fractions 4638/909,6661/803 is 30893718

Greatest Common Factor of 909,803 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,803 By Matching Biggest Common Factor Method

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Greatest Common Factor

We found the factors 909,803 . The biggest common factor number is the GCF number.
So the greatest common factor 909,803 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 4638/909, 6661/803

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 4638/909, 6661/803?

Answer: LCM of Numerators as per given numbers 4638/909, 6661/803 is

LCM of Numerators i.e. for 4638,6661 is 30893718

GCF of denominators i.e. for 909,803 is 1.

Thus, LCM of Fractions is 30893718.Finally, LCM of Fractions for 4638/909, 6661/803 is 30893718.