Least Common Multiple of 780/86, 4794/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 780/86, 4794/390 quickly i.e. 311610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 780/86, 4794/390 is 311610.

LCM(780/86, 4794/390) = 311610

LCM of 780/86, 4794/390

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 780/86,4794/390

Given numbers are 780/86,4794/390

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 780,4794

Least Common Multiple of Numerators i.e. LCM of 780,4794 is 623220.

GCF of Denominators means GCF of 86,390 as per the given fractions.

GCF of 86,390 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 780,4794

LCM of Fractions 780/86,4794/390 is 311610

2 780, 4794
3 390, 2397
130, 799

∴ So the LCM of the given numbers is 2 x 3 x 130 x 799 = 623220

Least Common Multiple of 780,4794 with GCF Formula

Least Common Multiple of 780,4794 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 780,4794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,4794) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(780,4794) x common factors =6 x 1 = 6

LCM(780,4794) = ( 780 × 4794 ) / 6

LCM(780,4794) = 3739320 / 6

LCM(780,4794) = 623220


Lets's calculate GCF of 86,390

2 86, 390
43, 195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 623220/2

Therefore the LCM of Fractions 780/86,4794/390 is 311610

Greatest Common Factor of 86,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,390 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 86,390 . The biggest common factor number is the GCF number.
So the greatest common factor 86,390 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 780/86, 4794/390

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 780/86, 4794/390?

Answer: LCM of Numerators as per given numbers 780/86, 4794/390 is

LCM of Numerators i.e. for 780,4794 is 623220

GCF of denominators i.e. for 86,390 is 2.

Thus, LCM of Fractions is 311610.Finally, LCM of Fractions for 780/86, 4794/390 is 311610.