Least Common Multiple of 11/29, 642/82, 644/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 11/29, 642/82, 644/743 quickly i.e. 2273964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/29, 642/82, 644/743 is 2273964.

LCM(11/29, 642/82, 644/743) = 2273964

LCM of 11/29, 642/82, 644/743

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 11/29,642/82,644/743

Given numbers are 11/29,642/82,644/743

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 11,642,644

Least Common Multiple of Numerators i.e. LCM of 11,642,644 is 2273964.

GCF of Denominators means GCF of 29,82,743 as per the given fractions.

GCF of 29,82,743 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,642,644

LCM of Fractions 11/29,642/82,644/743 is 2273964

2 11, 642, 644
11, 321, 322

∴ So the LCM of the given numbers is 2 x 11 x 321 x 322 = 2273964

Least Common Multiple of 11,642,644 with GCF Formula

Least Common Multiple of 11,642,644 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 11,642,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,642,644) = 1

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

GCF(11,642,644) x common factors =1 x 2 = 2

LCM(11,642,644) = ( 11 × 642 × 644 ) / 2

LCM(11,642,644) = 4547928 / 2

LCM(11,642,644) = 2273964


Lets's calculate GCF of 29,82,743

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2273964/1

Therefore the LCM of Fractions 11/29,642/82,644/743 is 2273964

Greatest Common Factor of 29,82,743 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,82,743 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Greatest Common Factor

We found the factors 29,82,743 . The biggest common factor number is the GCF number.
So the greatest common factor 29,82,743 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 11/29, 642/82, 644/743

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 11/29, 642/82, 644/743?

Answer: LCM of Numerators as per given numbers 11/29, 642/82, 644/743 is

LCM of Numerators i.e. for 11,642,644 is 2273964

GCF of denominators i.e. for 29,82,743 is 1.

Thus, LCM of Fractions is 2273964.Finally, LCM of Fractions for 11/29, 642/82, 644/743 is 2273964.