Least Common Multiple of 94/18, 493/66, 821/777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/18, 493/66, 821/777 quickly i.e. 38046782/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/18, 493/66, 821/777 is 38046782/3.

LCM(94/18, 493/66, 821/777) = 38046782/3

LCM of 94/18, 493/66, 821/777

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 94/18,493/66,821/777

Given numbers are 94/18,493/66,821/777

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 94,493,821

Least Common Multiple of Numerators i.e. LCM of 94,493,821 is 38046782.

GCF of Denominators means GCF of 18,66,777 as per the given fractions.

GCF of 18,66,777 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,493,821

LCM of Fractions 94/18,493/66,821/777 is 38046782/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 38046782

Least Common Multiple of 94,493,821 with GCF Formula

Least Common Multiple of 94,493,821 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 94,493,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,493,821) = 1

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

GCF(94,493,821) x common factors =1 x 1 = 1

LCM(94,493,821) = ( 94 × 493 × 821 ) / 1

LCM(94,493,821) = 38046782 / 1

LCM(94,493,821) = 38046782


Lets's calculate GCF of 18,66,777

3 18, 66, 777
6, 22, 259

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38046782/3

Therefore the LCM of Fractions 94/18,493/66,821/777 is 38046782/3

Greatest Common Factor of 18,66,777 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,66,777 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Greatest Common Factor

We found the factors 18,66,777 . The biggest common factor number is the GCF number.
So the greatest common factor 18,66,777 is 3.


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 94/18, 493/66, 821/777

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 94/18, 493/66, 821/777?

Answer: LCM of Numerators as per given numbers 94/18, 493/66, 821/777 is

LCM of Numerators i.e. for 94,493,821 is 38046782

GCF of denominators i.e. for 18,66,777 is 3.

Thus, LCM of Fractions is 38046782/3.Finally, LCM of Fractions for 94/18, 493/66, 821/777 is 38046782/3.