Least Common Multiple of 560/51, 805/80, 800/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 560/51, 805/80, 800/16 quickly i.e. 128800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 560/51, 805/80, 800/16 is 128800.

LCM(560/51, 805/80, 800/16) = 128800

LCM of 560/51, 805/80, 800/16

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 560/51,805/80,800/16

Given numbers are 560/51,805/80,800/16

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 560,805,800

Least Common Multiple of Numerators i.e. LCM of 560,805,800 is 128800.

GCF of Denominators means GCF of 51,80,16 as per the given fractions.

GCF of 51,80,16 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 560,805,800

LCM of Fractions 560/51,805/80,800/16 is 128800

2 560, 805, 800
2 280, 805, 400
2 140, 805, 200
2 70, 805, 100
5 35, 805, 50
7 7, 161, 10
1, 23, 10

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 7 x 1 x 23 x 10 = 128800

Least Common Multiple of 560,805,800 with GCF Formula

Least Common Multiple of 560,805,800 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 560,805,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,805,800) = 5

common factors(in case of two or more numbers have common factors) = 560

GCF(560,805,800) x common factors =5 x 560 = 2800

LCM(560,805,800) = ( 560 × 805 × 800 ) / 2800

LCM(560,805,800) = 360640000 / 2800

LCM(560,805,800) = 128800


Lets's calculate GCF of 51,80,16

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128800/1

Therefore the LCM of Fractions 560/51,805/80,800/16 is 128800

Greatest Common Factor of 51,80,16 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,80,16 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Greatest Common Factor

We found the factors 51,80,16 . The biggest common factor number is the GCF number.
So the greatest common factor 51,80,16 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 560/51, 805/80, 800/16

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 560/51, 805/80, 800/16?

Answer: LCM of Numerators as per given numbers 560/51, 805/80, 800/16 is

LCM of Numerators i.e. for 560,805,800 is 128800

GCF of denominators i.e. for 51,80,16 is 1.

Thus, LCM of Fractions is 128800.Finally, LCM of Fractions for 560/51, 805/80, 800/16 is 128800.