Least Common Multiple of 56/43, 815/16, 814/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/43, 815/16, 814/896 quickly i.e. 18575480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/43, 815/16, 814/896 is 18575480.

LCM(56/43, 815/16, 814/896) = 18575480

LCM of 56/43, 815/16, 814/896

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 56/43,815/16,814/896

Given numbers are 56/43,815/16,814/896

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 56,815,814

Least Common Multiple of Numerators i.e. LCM of 56,815,814 is 18575480.

GCF of Denominators means GCF of 43,16,896 as per the given fractions.

GCF of 43,16,896 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,815,814

LCM of Fractions 56/43,815/16,814/896 is 18575480

2 56, 815, 814
28, 815, 407

∴ So the LCM of the given numbers is 2 x 28 x 815 x 407 = 18575480

Least Common Multiple of 56,815,814 with GCF Formula

Least Common Multiple of 56,815,814 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 56,815,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,815,814) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(56,815,814) x common factors =1 x 2 = 2

LCM(56,815,814) = ( 56 × 815 × 814 ) / 2

LCM(56,815,814) = 37150960 / 2

LCM(56,815,814) = 18575480


Lets's calculate GCF of 43,16,896

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18575480/1

Therefore the LCM of Fractions 56/43,815/16,814/896 is 18575480

Greatest Common Factor of 43,16,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,16,896 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 16

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

1,2,4,8,16

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 43,16,896 . The biggest common factor number is the GCF number.
So the greatest common factor 43,16,896 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 56/43, 815/16, 814/896

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 56/43, 815/16, 814/896?

Answer: LCM of Numerators as per given numbers 56/43, 815/16, 814/896 is

LCM of Numerators i.e. for 56,815,814 is 18575480

GCF of denominators i.e. for 43,16,896 is 1.

Thus, LCM of Fractions is 18575480.Finally, LCM of Fractions for 56/43, 815/16, 814/896 is 18575480.