Least Common Multiple of 66/994, 29/709, 496/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/994, 29/709, 496/305 quickly i.e. 474672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/994, 29/709, 496/305 is 474672.

LCM(66/994, 29/709, 496/305) = 474672

LCM of 66/994, 29/709, 496/305

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 66/994,29/709,496/305

Given numbers are 66/994,29/709,496/305

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 66,29,496

Least Common Multiple of Numerators i.e. LCM of 66,29,496 is 474672.

GCF of Denominators means GCF of 994,709,305 as per the given fractions.

GCF of 994,709,305 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,29,496

LCM of Fractions 66/994,29/709,496/305 is 474672

2 66, 29, 496
33, 29, 248

∴ So the LCM of the given numbers is 2 x 33 x 29 x 248 = 474672

Least Common Multiple of 66,29,496 with GCF Formula

Least Common Multiple of 66,29,496 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 66,29,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,29,496) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(66,29,496) x common factors =1 x 2 = 2

LCM(66,29,496) = ( 66 × 29 × 496 ) / 2

LCM(66,29,496) = 949344 / 2

LCM(66,29,496) = 474672


Lets's calculate GCF of 994,709,305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 474672/1

Therefore the LCM of Fractions 66/994,29/709,496/305 is 474672

Greatest Common Factor of 994,709,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,709,305 By Matching Biggest Common Factor Method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 994,709,305 . The biggest common factor number is the GCF number.
So the greatest common factor 994,709,305 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 66/994, 29/709, 496/305

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 66/994, 29/709, 496/305?

Answer: LCM of Numerators as per given numbers 66/994, 29/709, 496/305 is

LCM of Numerators i.e. for 66,29,496 is 474672

GCF of denominators i.e. for 994,709,305 is 1.

Thus, LCM of Fractions is 474672.Finally, LCM of Fractions for 66/994, 29/709, 496/305 is 474672.