Least Common Multiple of 20/438, 82/984, 344/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 20/438, 82/984, 344/832 quickly i.e. 35260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/438, 82/984, 344/832 is 35260.

LCM(20/438, 82/984, 344/832) = 35260

LCM of 20/438, 82/984, 344/832

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 20/438,82/984,344/832

Given numbers are 20/438,82/984,344/832

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 20,82,344

Least Common Multiple of Numerators i.e. LCM of 20,82,344 is 70520.

GCF of Denominators means GCF of 438,984,832 as per the given fractions.

GCF of 438,984,832 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,82,344

LCM of Fractions 20/438,82/984,344/832 is 35260

2 20, 82, 344
2 10, 41, 172
5, 41, 86

∴ So the LCM of the given numbers is 2 x 2 x 5 x 41 x 86 = 70520

Least Common Multiple of 20,82,344 with GCF Formula

Least Common Multiple of 20,82,344 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 20,82,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,82,344) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(20,82,344) x common factors =2 x 4 = 8

LCM(20,82,344) = ( 20 × 82 × 344 ) / 8

LCM(20,82,344) = 564160 / 8

LCM(20,82,344) = 70520


Lets's calculate GCF of 438,984,832

2 438, 984, 832
219, 492, 416

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70520/2

Therefore the LCM of Fractions 20/438,82/984,344/832 is 35260

Greatest Common Factor of 438,984,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,984,832 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 438,984,832 . The biggest common factor number is the GCF number.
So the greatest common factor 438,984,832 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 20/438, 82/984, 344/832

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 20/438, 82/984, 344/832?

Answer: LCM of Numerators as per given numbers 20/438, 82/984, 344/832 is

LCM of Numerators i.e. for 20,82,344 is 70520

GCF of denominators i.e. for 438,984,832 is 2.

Thus, LCM of Fractions is 35260.Finally, LCM of Fractions for 20/438, 82/984, 344/832 is 35260.