Least Common Multiple of 47/15, 93/73, 351/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/15, 93/73, 351/193 quickly i.e. 511407 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/15, 93/73, 351/193 is 511407.

LCM(47/15, 93/73, 351/193) = 511407

LCM of 47/15, 93/73, 351/193

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 47/15,93/73,351/193

Given numbers are 47/15,93/73,351/193

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 47,93,351

Least Common Multiple of Numerators i.e. LCM of 47,93,351 is 511407.

GCF of Denominators means GCF of 15,73,193 as per the given fractions.

GCF of 15,73,193 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,93,351

LCM of Fractions 47/15,93/73,351/193 is 511407

3 47, 93, 351
47, 31, 117

∴ So the LCM of the given numbers is 3 x 47 x 31 x 117 = 511407

Least Common Multiple of 47,93,351 with GCF Formula

Least Common Multiple of 47,93,351 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 47,93,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,93,351) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(47,93,351) x common factors =1 x 3 = 3

LCM(47,93,351) = ( 47 × 93 × 351 ) / 3

LCM(47,93,351) = 1534221 / 3

LCM(47,93,351) = 511407


Lets's calculate GCF of 15,73,193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 511407/1

Therefore the LCM of Fractions 47/15,93/73,351/193 is 511407

Greatest Common Factor of 15,73,193 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,73,193 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Greatest Common Factor

We found the factors 15,73,193 . The biggest common factor number is the GCF number.
So the greatest common factor 15,73,193 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 47/15, 93/73, 351/193

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 47/15, 93/73, 351/193?

Answer: LCM of Numerators as per given numbers 47/15, 93/73, 351/193 is

LCM of Numerators i.e. for 47,93,351 is 511407

GCF of denominators i.e. for 15,73,193 is 1.

Thus, LCM of Fractions is 511407.Finally, LCM of Fractions for 47/15, 93/73, 351/193 is 511407.