Least Common Multiple of 29/55, 408/58, 866/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 29/55, 408/58, 866/990 quickly i.e. 5123256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/55, 408/58, 866/990 is 5123256.

LCM(29/55, 408/58, 866/990) = 5123256

LCM of 29/55, 408/58, 866/990

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 29/55,408/58,866/990

Given numbers are 29/55,408/58,866/990

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 29,408,866

Least Common Multiple of Numerators i.e. LCM of 29,408,866 is 5123256.

GCF of Denominators means GCF of 55,58,990 as per the given fractions.

GCF of 55,58,990 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,408,866

LCM of Fractions 29/55,408/58,866/990 is 5123256

2 29, 408, 866
29, 204, 433

∴ So the LCM of the given numbers is 2 x 29 x 204 x 433 = 5123256

Least Common Multiple of 29,408,866 with GCF Formula

Least Common Multiple of 29,408,866 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 29,408,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,408,866) = 1

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

GCF(29,408,866) x common factors =1 x 2 = 2

LCM(29,408,866) = ( 29 × 408 × 866 ) / 2

LCM(29,408,866) = 10246512 / 2

LCM(29,408,866) = 5123256


Lets's calculate GCF of 55,58,990

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5123256/1

Therefore the LCM of Fractions 29/55,408/58,866/990 is 5123256

Greatest Common Factor of 55,58,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,58,990 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 55,58,990 . The biggest common factor number is the GCF number.
So the greatest common factor 55,58,990 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 29/55, 408/58, 866/990

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 29/55, 408/58, 866/990?

Answer: LCM of Numerators as per given numbers 29/55, 408/58, 866/990 is

LCM of Numerators i.e. for 29,408,866 is 5123256

GCF of denominators i.e. for 55,58,990 is 1.

Thus, LCM of Fractions is 5123256.Finally, LCM of Fractions for 29/55, 408/58, 866/990 is 5123256.