Least Common Multiple of 6271/397, 6030/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6271/397, 6030/314 quickly i.e. 37814130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6271/397, 6030/314 is 37814130.

LCM(6271/397, 6030/314) = 37814130

LCM of 6271/397, 6030/314

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 6271/397,6030/314

Given numbers are 6271/397,6030/314

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 6271,6030

Least Common Multiple of Numerators i.e. LCM of 6271,6030 is 37814130.

GCF of Denominators means GCF of 397,314 as per the given fractions.

GCF of 397,314 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6271,6030

LCM of Fractions 6271/397,6030/314 is 37814130

Given numbers has no common factors except 1. So, there LCM is their product i.e 37814130

Least Common Multiple of 6271,6030 with GCF Formula

Least Common Multiple of 6271,6030 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 6271,6030 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6271,6030) = 1

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

GCF(6271,6030) x common factors =1 x 1 = 1

LCM(6271,6030) = ( 6271 × 6030 ) / 1

LCM(6271,6030) = 37814130 / 1

LCM(6271,6030) = 37814130


Lets's calculate GCF of 397,314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37814130/1

Therefore the LCM of Fractions 6271/397,6030/314 is 37814130

Greatest Common Factor of 397,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,314 By Matching Biggest Common Factor Method

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 397,314 . The biggest common factor number is the GCF number.
So the greatest common factor 397,314 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 6271/397, 6030/314

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 6271/397, 6030/314?

Answer: LCM of Numerators as per given numbers 6271/397, 6030/314 is

LCM of Numerators i.e. for 6271,6030 is 37814130

GCF of denominators i.e. for 397,314 is 1.

Thus, LCM of Fractions is 37814130.Finally, LCM of Fractions for 6271/397, 6030/314 is 37814130.