Least Common Multiple of 743/28, 4180/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 743/28, 4180/446 quickly i.e. 1552870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 743/28, 4180/446 is 1552870.

LCM(743/28, 4180/446) = 1552870

LCM of 743/28, 4180/446

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 743/28,4180/446

Given numbers are 743/28,4180/446

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 743,4180

Least Common Multiple of Numerators i.e. LCM of 743,4180 is 3105740.

GCF of Denominators means GCF of 28,446 as per the given fractions.

GCF of 28,446 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 743,4180

LCM of Fractions 743/28,4180/446 is 1552870

Given numbers has no common factors except 1. So, there LCM is their product i.e 3105740

Least Common Multiple of 743,4180 with GCF Formula

Least Common Multiple of 743,4180 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 743,4180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,4180) = 1

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

GCF(743,4180) x common factors =1 x 1 = 1

LCM(743,4180) = ( 743 × 4180 ) / 1

LCM(743,4180) = 3105740 / 1

LCM(743,4180) = 3105740


Lets's calculate GCF of 28,446

2 28, 446
14, 223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3105740/2

Therefore the LCM of Fractions 743/28,4180/446 is 1552870

Greatest Common Factor of 28,446 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,446 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Greatest Common Factor

We found the factors 28,446 . The biggest common factor number is the GCF number.
So the greatest common factor 28,446 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 743/28, 4180/446

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 743/28, 4180/446?

Answer: LCM of Numerators as per given numbers 743/28, 4180/446 is

LCM of Numerators i.e. for 743,4180 is 3105740

GCF of denominators i.e. for 28,446 is 2.

Thus, LCM of Fractions is 1552870.Finally, LCM of Fractions for 743/28, 4180/446 is 1552870.