Least Common Multiple of 805/465, 175/584, 285/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 805/465, 175/584, 285/448 quickly i.e. 229425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 805/465, 175/584, 285/448 is 229425.

LCM(805/465, 175/584, 285/448) = 229425

LCM of 805/465, 175/584, 285/448

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 805/465,175/584,285/448

Given numbers are 805/465,175/584,285/448

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 805,175,285

Least Common Multiple of Numerators i.e. LCM of 805,175,285 is 229425.

GCF of Denominators means GCF of 465,584,448 as per the given fractions.

GCF of 465,584,448 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 805,175,285

LCM of Fractions 805/465,175/584,285/448 is 229425

5 805, 175, 285
7 161, 35, 57
23, 5, 57

∴ So the LCM of the given numbers is 5 x 7 x 23 x 5 x 57 = 229425

Least Common Multiple of 805,175,285 with GCF Formula

Least Common Multiple of 805,175,285 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 805,175,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(805,175,285) = 5

common factors(in case of two or more numbers have common factors) = 35

GCF(805,175,285) x common factors =5 x 35 = 175

LCM(805,175,285) = ( 805 × 175 × 285 ) / 175

LCM(805,175,285) = 40149375 / 175

LCM(805,175,285) = 229425


Lets's calculate GCF of 465,584,448

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 229425/1

Therefore the LCM of Fractions 805/465,175/584,285/448 is 229425

Greatest Common Factor of 465,584,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,584,448 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

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

Greatest Common Factor

We found the factors 465,584,448 . The biggest common factor number is the GCF number.
So the greatest common factor 465,584,448 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 805/465, 175/584, 285/448

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 805/465, 175/584, 285/448?

Answer: LCM of Numerators as per given numbers 805/465, 175/584, 285/448 is

LCM of Numerators i.e. for 805,175,285 is 229425

GCF of denominators i.e. for 465,584,448 is 1.

Thus, LCM of Fractions is 229425.Finally, LCM of Fractions for 805/465, 175/584, 285/448 is 229425.