Least Common Multiple of 900/80, 936/59, 417/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 900/80, 936/59, 417/896 quickly i.e. 3252600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 900/80, 936/59, 417/896 is 3252600.

LCM(900/80, 936/59, 417/896) = 3252600

LCM of 900/80, 936/59, 417/896

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 900/80,936/59,417/896

Given numbers are 900/80,936/59,417/896

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 900,936,417

Least Common Multiple of Numerators i.e. LCM of 900,936,417 is 3252600.

GCF of Denominators means GCF of 80,59,896 as per the given fractions.

GCF of 80,59,896 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,936,417

LCM of Fractions 900/80,936/59,417/896 is 3252600

2 900, 936, 417
2 450, 468, 417
3 225, 234, 417
3 75, 78, 139
25, 26, 139

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 25 x 26 x 139 = 3252600

Least Common Multiple of 900,936,417 with GCF Formula

Least Common Multiple of 900,936,417 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 900,936,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,936,417) = 3

common factors(in case of two or more numbers have common factors) = 36

GCF(900,936,417) x common factors =3 x 36 = 108

LCM(900,936,417) = ( 900 × 936 × 417 ) / 108

LCM(900,936,417) = 351280800 / 108

LCM(900,936,417) = 3252600


Lets's calculate GCF of 80,59,896

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3252600/1

Therefore the LCM of Fractions 900/80,936/59,417/896 is 3252600

Greatest Common Factor of 80,59,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,59,896 By Matching Biggest Common Factor Method

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 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

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 80,59,896 . The biggest common factor number is the GCF number.
So the greatest common factor 80,59,896 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 900/80, 936/59, 417/896

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 900/80, 936/59, 417/896?

Answer: LCM of Numerators as per given numbers 900/80, 936/59, 417/896 is

LCM of Numerators i.e. for 900,936,417 is 3252600

GCF of denominators i.e. for 80,59,896 is 1.

Thus, LCM of Fractions is 3252600.Finally, LCM of Fractions for 900/80, 936/59, 417/896 is 3252600.