Least Common Multiple of 80/320, 6656/9445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 80/320, 6656/9445 quickly i.e. 6656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/320, 6656/9445 is 6656.

LCM(80/320, 6656/9445) = 6656

LCM of 80/320, 6656/9445

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 80/320,6656/9445

Given numbers are 80/320,6656/9445

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 80,6656

Least Common Multiple of Numerators i.e. LCM of 80,6656 is 33280.

GCF of Denominators means GCF of 320,9445 as per the given fractions.

GCF of 320,9445 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,6656

LCM of Fractions 80/320,6656/9445 is 6656

2 80, 6656
2 40, 3328
2 20, 1664
2 10, 832
5, 416

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 416 = 33280

Least Common Multiple of 80,6656 with GCF Formula

Least Common Multiple of 80,6656 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 80,6656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,6656) = 16

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

GCF(80,6656) x common factors =16 x 1 = 16

LCM(80,6656) = ( 80 × 6656 ) / 16

LCM(80,6656) = 532480 / 16

LCM(80,6656) = 33280


Lets's calculate GCF of 320,9445

5 320, 9445
64, 1889

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33280/5

Therefore the LCM of Fractions 80/320,6656/9445 is 6656

Greatest Common Factor of 320,9445 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,9445 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 9445

List of positive integer factors of 9445 that divides 9445 without a remainder.

1,5,1889,9445

Greatest Common Factor

We found the factors 320,9445 . The biggest common factor number is the GCF number.
So the greatest common factor 320,9445 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 80/320, 6656/9445

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 80/320, 6656/9445?

Answer: LCM of Numerators as per given numbers 80/320, 6656/9445 is

LCM of Numerators i.e. for 80,6656 is 33280

GCF of denominators i.e. for 320,9445 is 5.

Thus, LCM of Fractions is 6656.Finally, LCM of Fractions for 80/320, 6656/9445 is 6656.