Least Common Multiple of 90/24, 593/18, 825/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 90/24, 593/18, 825/731 quickly i.e. 2935350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/24, 593/18, 825/731 is 2935350.

LCM(90/24, 593/18, 825/731) = 2935350

LCM of 90/24, 593/18, 825/731

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 90/24,593/18,825/731

Given numbers are 90/24,593/18,825/731

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 90,593,825

Least Common Multiple of Numerators i.e. LCM of 90,593,825 is 2935350.

GCF of Denominators means GCF of 24,18,731 as per the given fractions.

GCF of 24,18,731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,593,825

LCM of Fractions 90/24,593/18,825/731 is 2935350

3 90, 593, 825
5 30, 593, 275
6, 593, 55

∴ So the LCM of the given numbers is 3 x 5 x 6 x 593 x 55 = 2935350

Least Common Multiple of 90,593,825 with GCF Formula

Least Common Multiple of 90,593,825 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 90,593,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,593,825) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(90,593,825) x common factors =1 x 15 = 15

LCM(90,593,825) = ( 90 × 593 × 825 ) / 15

LCM(90,593,825) = 44030250 / 15

LCM(90,593,825) = 2935350


Lets's calculate GCF of 24,18,731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2935350/1

Therefore the LCM of Fractions 90/24,593/18,825/731 is 2935350

Greatest Common Factor of 24,18,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,18,731 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 24,18,731 . The biggest common factor number is the GCF number.
So the greatest common factor 24,18,731 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 90/24, 593/18, 825/731

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 90/24, 593/18, 825/731?

Answer: LCM of Numerators as per given numbers 90/24, 593/18, 825/731 is

LCM of Numerators i.e. for 90,593,825 is 2935350

GCF of denominators i.e. for 24,18,731 is 1.

Thus, LCM of Fractions is 2935350.Finally, LCM of Fractions for 90/24, 593/18, 825/731 is 2935350.