Least Common Multiple of 729/91, 666/98, 822/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 729/91, 666/98, 822/623 quickly i.e. 7390602/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 729/91, 666/98, 822/623 is 7390602/7.

LCM(729/91, 666/98, 822/623) = 7390602/7

LCM of 729/91, 666/98, 822/623

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 729/91,666/98,822/623

Given numbers are 729/91,666/98,822/623

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 729,666,822

Least Common Multiple of Numerators i.e. LCM of 729,666,822 is 7390602.

GCF of Denominators means GCF of 91,98,623 as per the given fractions.

GCF of 91,98,623 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 729,666,822

LCM of Fractions 729/91,666/98,822/623 is 7390602/7

2 729, 666, 822
3 729, 333, 411
3 243, 111, 137
81, 37, 137

∴ So the LCM of the given numbers is 2 x 3 x 3 x 81 x 37 x 137 = 7390602

Least Common Multiple of 729,666,822 with GCF Formula

Least Common Multiple of 729,666,822 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 729,666,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,666,822) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(729,666,822) x common factors =3 x 18 = 54

LCM(729,666,822) = ( 729 × 666 × 822 ) / 54

LCM(729,666,822) = 399092508 / 54

LCM(729,666,822) = 7390602


Lets's calculate GCF of 91,98,623

7 91, 98, 623
13, 14, 89

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7390602/7

Therefore the LCM of Fractions 729/91,666/98,822/623 is 7390602/7

Greatest Common Factor of 91,98,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,98,623 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 91,98,623 . The biggest common factor number is the GCF number.
So the greatest common factor 91,98,623 is 7.


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 729/91, 666/98, 822/623

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 729/91, 666/98, 822/623?

Answer: LCM of Numerators as per given numbers 729/91, 666/98, 822/623 is

LCM of Numerators i.e. for 729,666,822 is 7390602

GCF of denominators i.e. for 91,98,623 is 7.

Thus, LCM of Fractions is 7390602/7.Finally, LCM of Fractions for 729/91, 666/98, 822/623 is 7390602/7.