Least Common Multiple of 6456/413, 8160/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6456/413, 8160/413 quickly i.e. 2195040/413 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6456/413, 8160/413 is 2195040/413.

LCM(6456/413, 8160/413) = 2195040/413

LCM of 6456/413, 8160/413

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 6456/413,8160/413

Given numbers are 6456/413,8160/413

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 6456,8160

Least Common Multiple of Numerators i.e. LCM of 6456,8160 is 2195040.

GCF of Denominators means GCF of 413,413 as per the given fractions.

GCF of 413,413 is 413 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6456,8160

LCM of Fractions 6456/413,8160/413 is 2195040/413

2 6456, 8160
2 3228, 4080
2 1614, 2040
3 807, 1020
269, 340

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 269 x 340 = 2195040

Least Common Multiple of 6456,8160 with GCF Formula

Least Common Multiple of 6456,8160 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 6456,8160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6456,8160) = 24

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

GCF(6456,8160) x common factors =24 x 1 = 24

LCM(6456,8160) = ( 6456 × 8160 ) / 24

LCM(6456,8160) = 52680960 / 24

LCM(6456,8160) = 2195040


Lets's calculate GCF of 413,413

7 413, 413
59 59, 59
1, 1

∴ So the GCF of the given numbers is 7 x 59 = 413

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2195040/413

Therefore the LCM of Fractions 6456/413,8160/413 is 2195040/413

Greatest Common Factor of 413,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,413 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 413,413 . The biggest common factor number is the GCF number.
So the greatest common factor 413,413 is 413.


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 6456/413, 8160/413

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 6456/413, 8160/413?

Answer: LCM of Numerators as per given numbers 6456/413, 8160/413 is

LCM of Numerators i.e. for 6456,8160 is 2195040

GCF of denominators i.e. for 413,413 is 413.

Thus, LCM of Fractions is 2195040/413.Finally, LCM of Fractions for 6456/413, 8160/413 is 2195040/413.