Least Common Multiple of 381/29, 842/2471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 381/29, 842/2471 quickly i.e. 320802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 381/29, 842/2471 is 320802.

LCM(381/29, 842/2471) = 320802

LCM of 381/29, 842/2471

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 381/29,842/2471

Given numbers are 381/29,842/2471

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 381,842

Least Common Multiple of Numerators i.e. LCM of 381,842 is 320802.

GCF of Denominators means GCF of 29,2471 as per the given fractions.

GCF of 29,2471 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 381,842

LCM of Fractions 381/29,842/2471 is 320802

Given numbers has no common factors except 1. So, there LCM is their product i.e 320802

Least Common Multiple of 381,842 with GCF Formula

Least Common Multiple of 381,842 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 381,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,842) = 1

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

GCF(381,842) x common factors =1 x 1 = 1

LCM(381,842) = ( 381 × 842 ) / 1

LCM(381,842) = 320802 / 1

LCM(381,842) = 320802


Lets's calculate GCF of 29,2471

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 320802/1

Therefore the LCM of Fractions 381/29,842/2471 is 320802

Greatest Common Factor of 29,2471 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,2471 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 2471

List of positive integer factors of 2471 that divides 2471 without a remainder.

1,7,353,2471

Greatest Common Factor

We found the factors 29,2471 . The biggest common factor number is the GCF number.
So the greatest common factor 29,2471 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 381/29, 842/2471

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 381/29, 842/2471?

Answer: LCM of Numerators as per given numbers 381/29, 842/2471 is

LCM of Numerators i.e. for 381,842 is 320802

GCF of denominators i.e. for 29,2471 is 1.

Thus, LCM of Fractions is 320802.Finally, LCM of Fractions for 381/29, 842/2471 is 320802.