Least Common Multiple of 90/480, 236/100, 831/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/480, 236/100, 831/240 quickly i.e. 147087 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/480, 236/100, 831/240 is 147087.

LCM(90/480, 236/100, 831/240) = 147087

LCM of 90/480, 236/100, 831/240

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 90/480,236/100,831/240

Given numbers are 90/480,236/100,831/240

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 90,236,831

Least Common Multiple of Numerators i.e. LCM of 90,236,831 is 2941740.

GCF of Denominators means GCF of 480,100,240 as per the given fractions.

GCF of 480,100,240 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,236,831

LCM of Fractions 90/480,236/100,831/240 is 147087

2 90, 236, 831
3 45, 118, 831
15, 118, 277

∴ So the LCM of the given numbers is 2 x 3 x 15 x 118 x 277 = 2941740

Least Common Multiple of 90,236,831 with GCF Formula

Least Common Multiple of 90,236,831 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 90,236,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,236,831) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(90,236,831) x common factors =1 x 6 = 6

LCM(90,236,831) = ( 90 × 236 × 831 ) / 6

LCM(90,236,831) = 17650440 / 6

LCM(90,236,831) = 2941740


Lets's calculate GCF of 480,100,240

2 480, 100, 240
2 240, 50, 120
5 60, 25, 120
12, 5, 24

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2941740/20

Therefore the LCM of Fractions 90/480,236/100,831/240 is 147087

Greatest Common Factor of 480,100,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,100,240 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 480,100,240 . The biggest common factor number is the GCF number.
So the greatest common factor 480,100,240 is 20.


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 90/480, 236/100, 831/240

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 90/480, 236/100, 831/240?

Answer: LCM of Numerators as per given numbers 90/480, 236/100, 831/240 is

LCM of Numerators i.e. for 90,236,831 is 2941740

GCF of denominators i.e. for 480,100,240 is 20.

Thus, LCM of Fractions is 147087.Finally, LCM of Fractions for 90/480, 236/100, 831/240 is 147087.