Least Common Multiple of 47/311, 35/472, 521/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/311, 35/472, 521/406 quickly i.e. 857045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/311, 35/472, 521/406 is 857045.

LCM(47/311, 35/472, 521/406) = 857045

LCM of 47/311, 35/472, 521/406

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 47/311,35/472,521/406

Given numbers are 47/311,35/472,521/406

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 47,35,521

Least Common Multiple of Numerators i.e. LCM of 47,35,521 is 857045.

GCF of Denominators means GCF of 311,472,406 as per the given fractions.

GCF of 311,472,406 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,35,521

LCM of Fractions 47/311,35/472,521/406 is 857045

Given numbers has no common factors except 1. So, there LCM is their product i.e 857045

Least Common Multiple of 47,35,521 with GCF Formula

Least Common Multiple of 47,35,521 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 47,35,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,35,521) = 1

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

GCF(47,35,521) x common factors =1 x 1 = 1

LCM(47,35,521) = ( 47 × 35 × 521 ) / 1

LCM(47,35,521) = 857045 / 1

LCM(47,35,521) = 857045


Lets's calculate GCF of 311,472,406

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 857045/1

Therefore the LCM of Fractions 47/311,35/472,521/406 is 857045

Greatest Common Factor of 311,472,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 311,472,406 By Matching Biggest Common Factor Method

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 311,472,406 . The biggest common factor number is the GCF number.
So the greatest common factor 311,472,406 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 47/311, 35/472, 521/406

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 47/311, 35/472, 521/406?

Answer: LCM of Numerators as per given numbers 47/311, 35/472, 521/406 is

LCM of Numerators i.e. for 47,35,521 is 857045

GCF of denominators i.e. for 311,472,406 is 1.

Thus, LCM of Fractions is 857045.Finally, LCM of Fractions for 47/311, 35/472, 521/406 is 857045.