Least Common Multiple of 40/465, 79/145, 835/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/465, 79/145, 835/259 quickly i.e. 527720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/465, 79/145, 835/259 is 527720.

LCM(40/465, 79/145, 835/259) = 527720

LCM of 40/465, 79/145, 835/259

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 40/465,79/145,835/259

Given numbers are 40/465,79/145,835/259

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 40,79,835

Least Common Multiple of Numerators i.e. LCM of 40,79,835 is 527720.

GCF of Denominators means GCF of 465,145,259 as per the given fractions.

GCF of 465,145,259 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,79,835

LCM of Fractions 40/465,79/145,835/259 is 527720

5 40, 79, 835
8, 79, 167

∴ So the LCM of the given numbers is 5 x 8 x 79 x 167 = 527720

Least Common Multiple of 40,79,835 with GCF Formula

Least Common Multiple of 40,79,835 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 40,79,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,79,835) = 1

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

GCF(40,79,835) x common factors =1 x 5 = 5

LCM(40,79,835) = ( 40 × 79 × 835 ) / 5

LCM(40,79,835) = 2638600 / 5

LCM(40,79,835) = 527720


Lets's calculate GCF of 465,145,259

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 527720/1

Therefore the LCM of Fractions 40/465,79/145,835/259 is 527720

Greatest Common Factor of 465,145,259 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,145,259 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Greatest Common Factor

We found the factors 465,145,259 . The biggest common factor number is the GCF number.
So the greatest common factor 465,145,259 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 40/465, 79/145, 835/259

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 40/465, 79/145, 835/259?

Answer: LCM of Numerators as per given numbers 40/465, 79/145, 835/259 is

LCM of Numerators i.e. for 40,79,835 is 527720

GCF of denominators i.e. for 465,145,259 is 1.

Thus, LCM of Fractions is 527720.Finally, LCM of Fractions for 40/465, 79/145, 835/259 is 527720.