Least Common Multiple of 401/107, 1071/3987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 401/107, 1071/3987 quickly i.e. 429471 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 401/107, 1071/3987 is 429471.

LCM(401/107, 1071/3987) = 429471

LCM of 401/107, 1071/3987

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 401/107,1071/3987

Given numbers are 401/107,1071/3987

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 401,1071

Least Common Multiple of Numerators i.e. LCM of 401,1071 is 429471.

GCF of Denominators means GCF of 107,3987 as per the given fractions.

GCF of 107,3987 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 401,1071

LCM of Fractions 401/107,1071/3987 is 429471

Given numbers has no common factors except 1. So, there LCM is their product i.e 429471

Least Common Multiple of 401,1071 with GCF Formula

Least Common Multiple of 401,1071 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 401,1071 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,1071) = 1

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

GCF(401,1071) x common factors =1 x 1 = 1

LCM(401,1071) = ( 401 × 1071 ) / 1

LCM(401,1071) = 429471 / 1

LCM(401,1071) = 429471


Lets's calculate GCF of 107,3987

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 429471/1

Therefore the LCM of Fractions 401/107,1071/3987 is 429471

Greatest Common Factor of 107,3987 By Matching Biggest Common Factor Method

Greatest Common Factor of 107,3987 By Matching Biggest Common Factor Method

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 3987

List of positive integer factors of 3987 that divides 3987 without a remainder.

1,3,9,443,1329,3987

Greatest Common Factor

We found the factors 107,3987 . The biggest common factor number is the GCF number.
So the greatest common factor 107,3987 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 401/107, 1071/3987

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 401/107, 1071/3987?

Answer: LCM of Numerators as per given numbers 401/107, 1071/3987 is

LCM of Numerators i.e. for 401,1071 is 429471

GCF of denominators i.e. for 107,3987 is 1.

Thus, LCM of Fractions is 429471.Finally, LCM of Fractions for 401/107, 1071/3987 is 429471.