Least Common Multiple of 29/32, 601/99, 320/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/32, 601/99, 320/994 quickly i.e. 5577280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/32, 601/99, 320/994 is 5577280.

LCM(29/32, 601/99, 320/994) = 5577280

LCM of 29/32, 601/99, 320/994

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 29/32,601/99,320/994

Given numbers are 29/32,601/99,320/994

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 29,601,320

Least Common Multiple of Numerators i.e. LCM of 29,601,320 is 5577280.

GCF of Denominators means GCF of 32,99,994 as per the given fractions.

GCF of 32,99,994 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,601,320

LCM of Fractions 29/32,601/99,320/994 is 5577280

Given numbers has no common factors except 1. So, there LCM is their product i.e 5577280

Least Common Multiple of 29,601,320 with GCF Formula

Least Common Multiple of 29,601,320 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 29,601,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,601,320) = 1

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

GCF(29,601,320) x common factors =1 x 1 = 1

LCM(29,601,320) = ( 29 × 601 × 320 ) / 1

LCM(29,601,320) = 5577280 / 1

LCM(29,601,320) = 5577280


Lets's calculate GCF of 32,99,994

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5577280/1

Therefore the LCM of Fractions 29/32,601/99,320/994 is 5577280

Greatest Common Factor of 32,99,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,99,994 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 994

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

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

Greatest Common Factor

We found the factors 32,99,994 . The biggest common factor number is the GCF number.
So the greatest common factor 32,99,994 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 29/32, 601/99, 320/994

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 29/32, 601/99, 320/994?

Answer: LCM of Numerators as per given numbers 29/32, 601/99, 320/994 is

LCM of Numerators i.e. for 29,601,320 is 5577280

GCF of denominators i.e. for 32,99,994 is 1.

Thus, LCM of Fractions is 5577280.Finally, LCM of Fractions for 29/32, 601/99, 320/994 is 5577280.