Least Common Multiple of 485/442, 923/290, 255/250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 485/442, 923/290, 255/250 quickly i.e. 22830405/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 485/442, 923/290, 255/250 is 22830405/2.

LCM(485/442, 923/290, 255/250) = 22830405/2

LCM of 485/442, 923/290, 255/250

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 485/442,923/290,255/250

Given numbers are 485/442,923/290,255/250

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 485,923,255

Least Common Multiple of Numerators i.e. LCM of 485,923,255 is 22830405.

GCF of Denominators means GCF of 442,290,250 as per the given fractions.

GCF of 442,290,250 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 485,923,255

LCM of Fractions 485/442,923/290,255/250 is 22830405/2

5 485, 923, 255
97, 923, 51

∴ So the LCM of the given numbers is 5 x 97 x 923 x 51 = 22830405

Least Common Multiple of 485,923,255 with GCF Formula

Least Common Multiple of 485,923,255 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 485,923,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,923,255) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(485,923,255) x common factors =1 x 5 = 5

LCM(485,923,255) = ( 485 × 923 × 255 ) / 5

LCM(485,923,255) = 114152025 / 5

LCM(485,923,255) = 22830405


Lets's calculate GCF of 442,290,250

2 442, 290, 250
221, 145, 125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22830405/2

Therefore the LCM of Fractions 485/442,923/290,255/250 is 22830405/2

Greatest Common Factor of 442,290,250 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,290,250 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors 442,290,250 . The biggest common factor number is the GCF number.
So the greatest common factor 442,290,250 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 485/442, 923/290, 255/250

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 485/442, 923/290, 255/250?

Answer: LCM of Numerators as per given numbers 485/442, 923/290, 255/250 is

LCM of Numerators i.e. for 485,923,255 is 22830405

GCF of denominators i.e. for 442,290,250 is 2.

Thus, LCM of Fractions is 22830405/2.Finally, LCM of Fractions for 485/442, 923/290, 255/250 is 22830405/2.