Least Common Multiple of 329/99, 501/22, 271/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 329/99, 501/22, 271/969 quickly i.e. 44668659 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 329/99, 501/22, 271/969 is 44668659.

LCM(329/99, 501/22, 271/969) = 44668659

LCM of 329/99, 501/22, 271/969

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 329/99,501/22,271/969

Given numbers are 329/99,501/22,271/969

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 329,501,271

Least Common Multiple of Numerators i.e. LCM of 329,501,271 is 44668659.

GCF of Denominators means GCF of 99,22,969 as per the given fractions.

GCF of 99,22,969 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 329,501,271

LCM of Fractions 329/99,501/22,271/969 is 44668659

Given numbers has no common factors except 1. So, there LCM is their product i.e 44668659

Least Common Multiple of 329,501,271 with GCF Formula

Least Common Multiple of 329,501,271 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 329,501,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,501,271) = 1

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

GCF(329,501,271) x common factors =1 x 1 = 1

LCM(329,501,271) = ( 329 × 501 × 271 ) / 1

LCM(329,501,271) = 44668659 / 1

LCM(329,501,271) = 44668659


Lets's calculate GCF of 99,22,969

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44668659/1

Therefore the LCM of Fractions 329/99,501/22,271/969 is 44668659

Greatest Common Factor of 99,22,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,22,969 By Matching Biggest Common Factor Method

Factors of 99

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

1,3,9,11,33,99

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 99,22,969 . The biggest common factor number is the GCF number.
So the greatest common factor 99,22,969 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 329/99, 501/22, 271/969

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 329/99, 501/22, 271/969?

Answer: LCM of Numerators as per given numbers 329/99, 501/22, 271/969 is

LCM of Numerators i.e. for 329,501,271 is 44668659

GCF of denominators i.e. for 99,22,969 is 1.

Thus, LCM of Fractions is 44668659.Finally, LCM of Fractions for 329/99, 501/22, 271/969 is 44668659.