Least Common Multiple of 381/434, 4027/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 381/434, 4027/882 quickly i.e. 1534287/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 381/434, 4027/882 is 1534287/14.

LCM(381/434, 4027/882) = 1534287/14

LCM of 381/434, 4027/882

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 381/434,4027/882

Given numbers are 381/434,4027/882

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 381,4027

Least Common Multiple of Numerators i.e. LCM of 381,4027 is 1534287.

GCF of Denominators means GCF of 434,882 as per the given fractions.

GCF of 434,882 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 381,4027

LCM of Fractions 381/434,4027/882 is 1534287/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 1534287

Least Common Multiple of 381,4027 with GCF Formula

Least Common Multiple of 381,4027 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 381,4027 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,4027) = 1

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

GCF(381,4027) x common factors =1 x 1 = 1

LCM(381,4027) = ( 381 × 4027 ) / 1

LCM(381,4027) = 1534287 / 1

LCM(381,4027) = 1534287


Lets's calculate GCF of 434,882

2 434, 882
7 217, 441
31, 63

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1534287/14

Therefore the LCM of Fractions 381/434,4027/882 is 1534287/14

Greatest Common Factor of 434,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 434,882 By Matching Biggest Common Factor Method

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 434,882 . The biggest common factor number is the GCF number.
So the greatest common factor 434,882 is 14.


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 381/434, 4027/882

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 381/434, 4027/882?

Answer: LCM of Numerators as per given numbers 381/434, 4027/882 is

LCM of Numerators i.e. for 381,4027 is 1534287

GCF of denominators i.e. for 434,882 is 14.

Thus, LCM of Fractions is 1534287/14.Finally, LCM of Fractions for 381/434, 4027/882 is 1534287/14.