Least Common Multiple of 258/40, 640/31, 717/90

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 258/40, 640/31, 717/90 quickly i.e. 19731840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 258/40, 640/31, 717/90 is 19731840.

LCM(258/40, 640/31, 717/90) = 19731840

LCM of 258/40, 640/31, 717/90

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 258/40,640/31,717/90

Given numbers are 258/40,640/31,717/90

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 258,640,717

Least Common Multiple of Numerators i.e. LCM of 258,640,717 is 19731840.

GCF of Denominators means GCF of 40,31,90 as per the given fractions.

GCF of 40,31,90 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 258,640,717

LCM of Fractions 258/40,640/31,717/90 is 19731840

2 258, 640, 717
3 129, 320, 717
43, 320, 239

∴ So the LCM of the given numbers is 2 x 3 x 43 x 320 x 239 = 19731840

Least Common Multiple of 258,640,717 with GCF Formula

Least Common Multiple of 258,640,717 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 258,640,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,640,717) = 1

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

GCF(258,640,717) x common factors =1 x 6 = 6

LCM(258,640,717) = ( 258 × 640 × 717 ) / 6

LCM(258,640,717) = 118391040 / 6

LCM(258,640,717) = 19731840


Lets's calculate GCF of 40,31,90

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19731840/1

Therefore the LCM of Fractions 258/40,640/31,717/90 is 19731840

Greatest Common Factor of 40,31,90 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,31,90 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Greatest Common Factor

We found the factors 40,31,90 . The biggest common factor number is the GCF number.
So the greatest common factor 40,31,90 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 258/40, 640/31, 717/90

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 258/40, 640/31, 717/90?

Answer: LCM of Numerators as per given numbers 258/40, 640/31, 717/90 is

LCM of Numerators i.e. for 258,640,717 is 19731840

GCF of denominators i.e. for 40,31,90 is 1.

Thus, LCM of Fractions is 19731840.Finally, LCM of Fractions for 258/40, 640/31, 717/90 is 19731840.