Least Common Multiple of 560/862, 2281/8320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 560/862, 2281/8320 quickly i.e. 638680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 560/862, 2281/8320 is 638680.

LCM(560/862, 2281/8320) = 638680

LCM of 560/862, 2281/8320

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 560/862,2281/8320

Given numbers are 560/862,2281/8320

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 560,2281

Least Common Multiple of Numerators i.e. LCM of 560,2281 is 1277360.

GCF of Denominators means GCF of 862,8320 as per the given fractions.

GCF of 862,8320 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 560,2281

LCM of Fractions 560/862,2281/8320 is 638680

Given numbers has no common factors except 1. So, there LCM is their product i.e 1277360

Least Common Multiple of 560,2281 with GCF Formula

Least Common Multiple of 560,2281 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 560,2281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,2281) = 1

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

GCF(560,2281) x common factors =1 x 1 = 1

LCM(560,2281) = ( 560 × 2281 ) / 1

LCM(560,2281) = 1277360 / 1

LCM(560,2281) = 1277360


Lets's calculate GCF of 862,8320

2 862, 8320
431, 4160

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1277360/2

Therefore the LCM of Fractions 560/862,2281/8320 is 638680

Greatest Common Factor of 862,8320 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,8320 By Matching Biggest Common Factor Method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 8320

List of positive integer factors of 8320 that divides 8320 without a remainder.

1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,128,130,160,208,260,320,416,520,640,832,1040,1664,2080,4160,8320

Greatest Common Factor

We found the factors 862,8320 . The biggest common factor number is the GCF number.
So the greatest common factor 862,8320 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 560/862, 2281/8320

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 560/862, 2281/8320?

Answer: LCM of Numerators as per given numbers 560/862, 2281/8320 is

LCM of Numerators i.e. for 560,2281 is 1277360

GCF of denominators i.e. for 862,8320 is 2.

Thus, LCM of Fractions is 638680.Finally, LCM of Fractions for 560/862, 2281/8320 is 638680.