Least Common Multiple of 3303/382, 9472/451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3303/382, 9472/451 quickly i.e. 31286016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3303/382, 9472/451 is 31286016.

LCM(3303/382, 9472/451) = 31286016

LCM of 3303/382, 9472/451

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 3303/382,9472/451

Given numbers are 3303/382,9472/451

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 3303,9472

Least Common Multiple of Numerators i.e. LCM of 3303,9472 is 31286016.

GCF of Denominators means GCF of 382,451 as per the given fractions.

GCF of 382,451 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3303,9472

LCM of Fractions 3303/382,9472/451 is 31286016

Given numbers has no common factors except 1. So, there LCM is their product i.e 31286016

Least Common Multiple of 3303,9472 with GCF Formula

Least Common Multiple of 3303,9472 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 3303,9472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3303,9472) = 1

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

GCF(3303,9472) x common factors =1 x 1 = 1

LCM(3303,9472) = ( 3303 × 9472 ) / 1

LCM(3303,9472) = 31286016 / 1

LCM(3303,9472) = 31286016


Lets's calculate GCF of 382,451

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31286016/1

Therefore the LCM of Fractions 3303/382,9472/451 is 31286016

Greatest Common Factor of 382,451 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,451 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Greatest Common Factor

We found the factors 382,451 . The biggest common factor number is the GCF number.
So the greatest common factor 382,451 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3303/382, 9472/451

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 3303/382, 9472/451?

Answer: LCM of Numerators as per given numbers 3303/382, 9472/451 is

LCM of Numerators i.e. for 3303,9472 is 31286016

GCF of denominators i.e. for 382,451 is 1.

Thus, LCM of Fractions is 31286016.Finally, LCM of Fractions for 3303/382, 9472/451 is 31286016.