Least Common Multiple of 8365/782, 3120/6407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8365/782, 3120/6407 quickly i.e. 5219760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8365/782, 3120/6407 is 5219760.

LCM(8365/782, 3120/6407) = 5219760

LCM of 8365/782, 3120/6407

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 8365/782,3120/6407

Given numbers are 8365/782,3120/6407

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 8365,3120

Least Common Multiple of Numerators i.e. LCM of 8365,3120 is 5219760.

GCF of Denominators means GCF of 782,6407 as per the given fractions.

GCF of 782,6407 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8365,3120

LCM of Fractions 8365/782,3120/6407 is 5219760

5 8365, 3120
1673, 624

∴ So the LCM of the given numbers is 5 x 1673 x 624 = 5219760

Least Common Multiple of 8365,3120 with GCF Formula

Least Common Multiple of 8365,3120 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 8365,3120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8365,3120) = 5

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

GCF(8365,3120) x common factors =5 x 1 = 5

LCM(8365,3120) = ( 8365 × 3120 ) / 5

LCM(8365,3120) = 26098800 / 5

LCM(8365,3120) = 5219760


Lets's calculate GCF of 782,6407

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5219760/1

Therefore the LCM of Fractions 8365/782,3120/6407 is 5219760

Greatest Common Factor of 782,6407 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,6407 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 6407

List of positive integer factors of 6407 that divides 6407 without a remainder.

1,43,149,6407

Greatest Common Factor

We found the factors 782,6407 . The biggest common factor number is the GCF number.
So the greatest common factor 782,6407 is 1.


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 8365/782, 3120/6407

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 8365/782, 3120/6407?

Answer: LCM of Numerators as per given numbers 8365/782, 3120/6407 is

LCM of Numerators i.e. for 8365,3120 is 5219760

GCF of denominators i.e. for 782,6407 is 1.

Thus, LCM of Fractions is 5219760.Finally, LCM of Fractions for 8365/782, 3120/6407 is 5219760.