Least Common Multiple of 319/412, 3147/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 319/412, 3147/271 quickly i.e. 1003893 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 319/412, 3147/271 is 1003893.

LCM(319/412, 3147/271) = 1003893

LCM of 319/412, 3147/271

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 319/412,3147/271

Given numbers are 319/412,3147/271

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 319,3147

Least Common Multiple of Numerators i.e. LCM of 319,3147 is 1003893.

GCF of Denominators means GCF of 412,271 as per the given fractions.

GCF of 412,271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 319,3147

LCM of Fractions 319/412,3147/271 is 1003893

Given numbers has no common factors except 1. So, there LCM is their product i.e 1003893

Least Common Multiple of 319,3147 with GCF Formula

Least Common Multiple of 319,3147 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 319,3147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,3147) = 1

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

GCF(319,3147) x common factors =1 x 1 = 1

LCM(319,3147) = ( 319 × 3147 ) / 1

LCM(319,3147) = 1003893 / 1

LCM(319,3147) = 1003893


Lets's calculate GCF of 412,271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1003893/1

Therefore the LCM of Fractions 319/412,3147/271 is 1003893

Greatest Common Factor of 412,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 412,271 By Matching Biggest Common Factor Method

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 412,271 . The biggest common factor number is the GCF number.
So the greatest common factor 412,271 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 319/412, 3147/271

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 319/412, 3147/271?

Answer: LCM of Numerators as per given numbers 319/412, 3147/271 is

LCM of Numerators i.e. for 319,3147 is 1003893

GCF of denominators i.e. for 412,271 is 1.

Thus, LCM of Fractions is 1003893.Finally, LCM of Fractions for 319/412, 3147/271 is 1003893.