Least Common Multiple of 447/18, 113/76, 349/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 447/18, 113/76, 349/802 quickly i.e. 17628339/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 447/18, 113/76, 349/802 is 17628339/2.

LCM(447/18, 113/76, 349/802) = 17628339/2

LCM of 447/18, 113/76, 349/802

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 447/18,113/76,349/802

Given numbers are 447/18,113/76,349/802

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 447,113,349

Least Common Multiple of Numerators i.e. LCM of 447,113,349 is 17628339.

GCF of Denominators means GCF of 18,76,802 as per the given fractions.

GCF of 18,76,802 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 447,113,349

LCM of Fractions 447/18,113/76,349/802 is 17628339/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 17628339

Least Common Multiple of 447,113,349 with GCF Formula

Least Common Multiple of 447,113,349 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 447,113,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(447,113,349) = 1

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

GCF(447,113,349) x common factors =1 x 1 = 1

LCM(447,113,349) = ( 447 × 113 × 349 ) / 1

LCM(447,113,349) = 17628339 / 1

LCM(447,113,349) = 17628339


Lets's calculate GCF of 18,76,802

2 18, 76, 802
9, 38, 401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17628339/2

Therefore the LCM of Fractions 447/18,113/76,349/802 is 17628339/2

Greatest Common Factor of 18,76,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,76,802 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Greatest Common Factor

We found the factors 18,76,802 . The biggest common factor number is the GCF number.
So the greatest common factor 18,76,802 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 447/18, 113/76, 349/802

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 447/18, 113/76, 349/802?

Answer: LCM of Numerators as per given numbers 447/18, 113/76, 349/802 is

LCM of Numerators i.e. for 447,113,349 is 17628339

GCF of denominators i.e. for 18,76,802 is 2.

Thus, LCM of Fractions is 17628339/2.Finally, LCM of Fractions for 447/18, 113/76, 349/802 is 17628339/2.