Least Common Multiple of 442/45, 8180/381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 442/45, 8180/381 quickly i.e. 1807780/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 442/45, 8180/381 is 1807780/3.

LCM(442/45, 8180/381) = 1807780/3

LCM of 442/45, 8180/381

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 442/45,8180/381

Given numbers are 442/45,8180/381

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 442,8180

Least Common Multiple of Numerators i.e. LCM of 442,8180 is 1807780.

GCF of Denominators means GCF of 45,381 as per the given fractions.

GCF of 45,381 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 442,8180

LCM of Fractions 442/45,8180/381 is 1807780/3

2 442, 8180
221, 4090

∴ So the LCM of the given numbers is 2 x 221 x 4090 = 1807780

Least Common Multiple of 442,8180 with GCF Formula

Least Common Multiple of 442,8180 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 442,8180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,8180) = 2

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

GCF(442,8180) x common factors =2 x 1 = 2

LCM(442,8180) = ( 442 × 8180 ) / 2

LCM(442,8180) = 3615560 / 2

LCM(442,8180) = 1807780


Lets's calculate GCF of 45,381

3 45, 381
15, 127

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1807780/3

Therefore the LCM of Fractions 442/45,8180/381 is 1807780/3

Greatest Common Factor of 45,381 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,381 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Greatest Common Factor

We found the factors 45,381 . The biggest common factor number is the GCF number.
So the greatest common factor 45,381 is 3.


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 442/45, 8180/381

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 442/45, 8180/381?

Answer: LCM of Numerators as per given numbers 442/45, 8180/381 is

LCM of Numerators i.e. for 442,8180 is 1807780

GCF of denominators i.e. for 45,381 is 3.

Thus, LCM of Fractions is 1807780/3.Finally, LCM of Fractions for 442/45, 8180/381 is 1807780/3.