Least Common Multiple of 18/441, 905/946, 744/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/441, 905/946, 744/284 quickly i.e. 2019960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/441, 905/946, 744/284 is 2019960.

LCM(18/441, 905/946, 744/284) = 2019960

LCM of 18/441, 905/946, 744/284

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 18/441,905/946,744/284

Given numbers are 18/441,905/946,744/284

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 18,905,744

Least Common Multiple of Numerators i.e. LCM of 18,905,744 is 2019960.

GCF of Denominators means GCF of 441,946,284 as per the given fractions.

GCF of 441,946,284 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,905,744

LCM of Fractions 18/441,905/946,744/284 is 2019960

2 18, 905, 744
3 9, 905, 372
3, 905, 124

∴ So the LCM of the given numbers is 2 x 3 x 3 x 905 x 124 = 2019960

Least Common Multiple of 18,905,744 with GCF Formula

Least Common Multiple of 18,905,744 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 18,905,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,905,744) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(18,905,744) x common factors =1 x 6 = 6

LCM(18,905,744) = ( 18 × 905 × 744 ) / 6

LCM(18,905,744) = 12119760 / 6

LCM(18,905,744) = 2019960


Lets's calculate GCF of 441,946,284

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2019960/1

Therefore the LCM of Fractions 18/441,905/946,744/284 is 2019960

Greatest Common Factor of 441,946,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,946,284 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 441,946,284 . The biggest common factor number is the GCF number.
So the greatest common factor 441,946,284 is 1.


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 18/441, 905/946, 744/284

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 18/441, 905/946, 744/284?

Answer: LCM of Numerators as per given numbers 18/441, 905/946, 744/284 is

LCM of Numerators i.e. for 18,905,744 is 2019960

GCF of denominators i.e. for 441,946,284 is 1.

Thus, LCM of Fractions is 2019960.Finally, LCM of Fractions for 18/441, 905/946, 744/284 is 2019960.