Least Common Multiple of 4446/731, 3484/473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4446/731, 3484/473 quickly i.e. 595764/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4446/731, 3484/473 is 595764/43.

LCM(4446/731, 3484/473) = 595764/43

LCM of 4446/731, 3484/473

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 4446/731,3484/473

Given numbers are 4446/731,3484/473

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 4446,3484

Least Common Multiple of Numerators i.e. LCM of 4446,3484 is 595764.

GCF of Denominators means GCF of 731,473 as per the given fractions.

GCF of 731,473 is 43 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4446,3484

LCM of Fractions 4446/731,3484/473 is 595764/43

2 4446, 3484
13 2223, 1742
171, 134

∴ So the LCM of the given numbers is 2 x 13 x 171 x 134 = 595764

Least Common Multiple of 4446,3484 with GCF Formula

Least Common Multiple of 4446,3484 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 4446,3484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4446,3484) = 26

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

GCF(4446,3484) x common factors =26 x 1 = 26

LCM(4446,3484) = ( 4446 × 3484 ) / 26

LCM(4446,3484) = 15489864 / 26

LCM(4446,3484) = 595764


Lets's calculate GCF of 731,473

43 731, 473
17, 11

∴ So the GCF of the given numbers is 43 = 43

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 595764/43

Therefore the LCM of Fractions 4446/731,3484/473 is 595764/43

Greatest Common Factor of 731,473 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,473 By Matching Biggest Common Factor Method

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Greatest Common Factor

We found the factors 731,473 . The biggest common factor number is the GCF number.
So the greatest common factor 731,473 is 43.


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 4446/731, 3484/473

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 4446/731, 3484/473?

Answer: LCM of Numerators as per given numbers 4446/731, 3484/473 is

LCM of Numerators i.e. for 4446,3484 is 595764

GCF of denominators i.e. for 731,473 is 43.

Thus, LCM of Fractions is 595764/43.Finally, LCM of Fractions for 4446/731, 3484/473 is 595764/43.