Least Common Multiple of 90/617, 16/618, 250/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/617, 16/618, 250/305 quickly i.e. 18000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/617, 16/618, 250/305 is 18000.

LCM(90/617, 16/618, 250/305) = 18000

LCM of 90/617, 16/618, 250/305

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 90/617,16/618,250/305

Given numbers are 90/617,16/618,250/305

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 90,16,250

Least Common Multiple of Numerators i.e. LCM of 90,16,250 is 18000.

GCF of Denominators means GCF of 617,618,305 as per the given fractions.

GCF of 617,618,305 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,16,250

LCM of Fractions 90/617,16/618,250/305 is 18000

2 90, 16, 250
5 45, 8, 125
9, 8, 25

∴ So the LCM of the given numbers is 2 x 5 x 9 x 8 x 25 = 18000

Least Common Multiple of 90,16,250 with GCF Formula

Least Common Multiple of 90,16,250 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 90,16,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,16,250) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(90,16,250) x common factors =2 x 10 = 20

LCM(90,16,250) = ( 90 × 16 × 250 ) / 20

LCM(90,16,250) = 360000 / 20

LCM(90,16,250) = 18000


Lets's calculate GCF of 617,618,305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18000/1

Therefore the LCM of Fractions 90/617,16/618,250/305 is 18000

Greatest Common Factor of 617,618,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,618,305 By Matching Biggest Common Factor Method

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 617,618,305 . The biggest common factor number is the GCF number.
So the greatest common factor 617,618,305 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 90/617, 16/618, 250/305

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 90/617, 16/618, 250/305?

Answer: LCM of Numerators as per given numbers 90/617, 16/618, 250/305 is

LCM of Numerators i.e. for 90,16,250 is 18000

GCF of denominators i.e. for 617,618,305 is 1.

Thus, LCM of Fractions is 18000.Finally, LCM of Fractions for 90/617, 16/618, 250/305 is 18000.