Least Common Multiple of 193/51, 649/72, 394/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 193/51, 649/72, 394/616 quickly i.e. 49351258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 193/51, 649/72, 394/616 is 49351258.

LCM(193/51, 649/72, 394/616) = 49351258

LCM of 193/51, 649/72, 394/616

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 193/51,649/72,394/616

Given numbers are 193/51,649/72,394/616

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 193,649,394

Least Common Multiple of Numerators i.e. LCM of 193,649,394 is 49351258.

GCF of Denominators means GCF of 51,72,616 as per the given fractions.

GCF of 51,72,616 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 193,649,394

LCM of Fractions 193/51,649/72,394/616 is 49351258

Given numbers has no common factors except 1. So, there LCM is their product i.e 49351258

Least Common Multiple of 193,649,394 with GCF Formula

Least Common Multiple of 193,649,394 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 193,649,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(193,649,394) = 1

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

GCF(193,649,394) x common factors =1 x 1 = 1

LCM(193,649,394) = ( 193 × 649 × 394 ) / 1

LCM(193,649,394) = 49351258 / 1

LCM(193,649,394) = 49351258


Lets's calculate GCF of 51,72,616

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49351258/1

Therefore the LCM of Fractions 193/51,649/72,394/616 is 49351258

Greatest Common Factor of 51,72,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,72,616 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 51,72,616 . The biggest common factor number is the GCF number.
So the greatest common factor 51,72,616 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 193/51, 649/72, 394/616

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 193/51, 649/72, 394/616?

Answer: LCM of Numerators as per given numbers 193/51, 649/72, 394/616 is

LCM of Numerators i.e. for 193,649,394 is 49351258

GCF of denominators i.e. for 51,72,616 is 1.

Thus, LCM of Fractions is 49351258.Finally, LCM of Fractions for 193/51, 649/72, 394/616 is 49351258.