Least Common Multiple of 78/389, 195/920, 559/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 78/389, 195/920, 559/387 quickly i.e. 16770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/389, 195/920, 559/387 is 16770.

LCM(78/389, 195/920, 559/387) = 16770

LCM of 78/389, 195/920, 559/387

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 78/389,195/920,559/387

Given numbers are 78/389,195/920,559/387

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 78,195,559

Least Common Multiple of Numerators i.e. LCM of 78,195,559 is 16770.

GCF of Denominators means GCF of 389,920,387 as per the given fractions.

GCF of 389,920,387 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,195,559

LCM of Fractions 78/389,195/920,559/387 is 16770

3 78, 195, 559
13 26, 65, 559
2, 5, 43

∴ So the LCM of the given numbers is 3 x 13 x 2 x 5 x 43 = 16770

Least Common Multiple of 78,195,559 with GCF Formula

Least Common Multiple of 78,195,559 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 78,195,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,195,559) = 13

common factors(in case of two or more numbers have common factors) = 39

GCF(78,195,559) x common factors =13 x 39 = 507

LCM(78,195,559) = ( 78 × 195 × 559 ) / 507

LCM(78,195,559) = 8502390 / 507

LCM(78,195,559) = 16770


Lets's calculate GCF of 389,920,387

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16770/1

Therefore the LCM of Fractions 78/389,195/920,559/387 is 16770

Greatest Common Factor of 389,920,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,920,387 By Matching Biggest Common Factor Method

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 389,920,387 . The biggest common factor number is the GCF number.
So the greatest common factor 389,920,387 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 78/389, 195/920, 559/387

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 78/389, 195/920, 559/387?

Answer: LCM of Numerators as per given numbers 78/389, 195/920, 559/387 is

LCM of Numerators i.e. for 78,195,559 is 16770

GCF of denominators i.e. for 389,920,387 is 1.

Thus, LCM of Fractions is 16770.Finally, LCM of Fractions for 78/389, 195/920, 559/387 is 16770.