Least Common Multiple of 38/779, 334/220, 564/479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 38/779, 334/220, 564/479 quickly i.e. 1789572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/779, 334/220, 564/479 is 1789572.

LCM(38/779, 334/220, 564/479) = 1789572

LCM of 38/779, 334/220, 564/479

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 38/779,334/220,564/479

Given numbers are 38/779,334/220,564/479

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 38,334,564

Least Common Multiple of Numerators i.e. LCM of 38,334,564 is 1789572.

GCF of Denominators means GCF of 779,220,479 as per the given fractions.

GCF of 779,220,479 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,334,564

LCM of Fractions 38/779,334/220,564/479 is 1789572

2 38, 334, 564
19, 167, 282

∴ So the LCM of the given numbers is 2 x 19 x 167 x 282 = 1789572

Least Common Multiple of 38,334,564 with GCF Formula

Least Common Multiple of 38,334,564 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 38,334,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,334,564) = 2

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

GCF(38,334,564) x common factors =2 x 2 = 4

LCM(38,334,564) = ( 38 × 334 × 564 ) / 4

LCM(38,334,564) = 7158288 / 4

LCM(38,334,564) = 1789572


Lets's calculate GCF of 779,220,479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1789572/1

Therefore the LCM of Fractions 38/779,334/220,564/479 is 1789572

Greatest Common Factor of 779,220,479 By Matching Biggest Common Factor Method

Greatest Common Factor of 779,220,479 By Matching Biggest Common Factor Method

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Greatest Common Factor

We found the factors 779,220,479 . The biggest common factor number is the GCF number.
So the greatest common factor 779,220,479 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 38/779, 334/220, 564/479

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 38/779, 334/220, 564/479?

Answer: LCM of Numerators as per given numbers 38/779, 334/220, 564/479 is

LCM of Numerators i.e. for 38,334,564 is 1789572

GCF of denominators i.e. for 779,220,479 is 1.

Thus, LCM of Fractions is 1789572.Finally, LCM of Fractions for 38/779, 334/220, 564/479 is 1789572.