Least Common Multiple of 928/96, 357/14, 899/20

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 928/96, 357/14, 899/20 quickly i.e. 5135088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 928/96, 357/14, 899/20 is 5135088.

LCM(928/96, 357/14, 899/20) = 5135088

LCM of 928/96, 357/14, 899/20

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 928/96,357/14,899/20

Given numbers are 928/96,357/14,899/20

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 928,357,899

Least Common Multiple of Numerators i.e. LCM of 928,357,899 is 10270176.

GCF of Denominators means GCF of 96,14,20 as per the given fractions.

GCF of 96,14,20 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 928,357,899

LCM of Fractions 928/96,357/14,899/20 is 5135088

29 928, 357, 899
32, 357, 31

∴ So the LCM of the given numbers is 29 x 32 x 357 x 31 = 10270176

Least Common Multiple of 928,357,899 with GCF Formula

Least Common Multiple of 928,357,899 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 928,357,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,357,899) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(928,357,899) x common factors =1 x 29 = 29

LCM(928,357,899) = ( 928 × 357 × 899 ) / 29

LCM(928,357,899) = 297835104 / 29

LCM(928,357,899) = 10270176


Lets's calculate GCF of 96,14,20

2 96, 14, 20
48, 7, 10

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10270176/2

Therefore the LCM of Fractions 928/96,357/14,899/20 is 5135088

Greatest Common Factor of 96,14,20 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,14,20 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Greatest Common Factor

We found the factors 96,14,20 . The biggest common factor number is the GCF number.
So the greatest common factor 96,14,20 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 928/96, 357/14, 899/20

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 928/96, 357/14, 899/20?

Answer: LCM of Numerators as per given numbers 928/96, 357/14, 899/20 is

LCM of Numerators i.e. for 928,357,899 is 10270176

GCF of denominators i.e. for 96,14,20 is 2.

Thus, LCM of Fractions is 5135088.Finally, LCM of Fractions for 928/96, 357/14, 899/20 is 5135088.