Least Common Multiple of 32/59, 818/22, 942/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 32/59, 818/22, 942/329 quickly i.e. 6164448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/59, 818/22, 942/329 is 6164448.

LCM(32/59, 818/22, 942/329) = 6164448

LCM of 32/59, 818/22, 942/329

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 32/59,818/22,942/329

Given numbers are 32/59,818/22,942/329

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 32,818,942

Least Common Multiple of Numerators i.e. LCM of 32,818,942 is 6164448.

GCF of Denominators means GCF of 59,22,329 as per the given fractions.

GCF of 59,22,329 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,818,942

LCM of Fractions 32/59,818/22,942/329 is 6164448

2 32, 818, 942
16, 409, 471

∴ So the LCM of the given numbers is 2 x 16 x 409 x 471 = 6164448

Least Common Multiple of 32,818,942 with GCF Formula

Least Common Multiple of 32,818,942 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 32,818,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,818,942) = 2

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

GCF(32,818,942) x common factors =2 x 2 = 4

LCM(32,818,942) = ( 32 × 818 × 942 ) / 4

LCM(32,818,942) = 24657792 / 4

LCM(32,818,942) = 6164448


Lets's calculate GCF of 59,22,329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6164448/1

Therefore the LCM of Fractions 32/59,818/22,942/329 is 6164448

Greatest Common Factor of 59,22,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,22,329 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 22

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

1,2,11,22

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors 59,22,329 . The biggest common factor number is the GCF number.
So the greatest common factor 59,22,329 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 32/59, 818/22, 942/329

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 32/59, 818/22, 942/329?

Answer: LCM of Numerators as per given numbers 32/59, 818/22, 942/329 is

LCM of Numerators i.e. for 32,818,942 is 6164448

GCF of denominators i.e. for 59,22,329 is 1.

Thus, LCM of Fractions is 6164448.Finally, LCM of Fractions for 32/59, 818/22, 942/329 is 6164448.