Least Common Multiple of 817/150, 312/275, 978/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 817/150, 312/275, 978/259 quickly i.e. 41549352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 817/150, 312/275, 978/259 is 41549352.

LCM(817/150, 312/275, 978/259) = 41549352

LCM of 817/150, 312/275, 978/259

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 817/150,312/275,978/259

Given numbers are 817/150,312/275,978/259

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 817,312,978

Least Common Multiple of Numerators i.e. LCM of 817,312,978 is 41549352.

GCF of Denominators means GCF of 150,275,259 as per the given fractions.

GCF of 150,275,259 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 817,312,978

LCM of Fractions 817/150,312/275,978/259 is 41549352

2 817, 312, 978
3 817, 156, 489
817, 52, 163

∴ So the LCM of the given numbers is 2 x 3 x 817 x 52 x 163 = 41549352

Least Common Multiple of 817,312,978 with GCF Formula

Least Common Multiple of 817,312,978 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 817,312,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,312,978) = 1

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

GCF(817,312,978) x common factors =1 x 6 = 6

LCM(817,312,978) = ( 817 × 312 × 978 ) / 6

LCM(817,312,978) = 249296112 / 6

LCM(817,312,978) = 41549352


Lets's calculate GCF of 150,275,259

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41549352/1

Therefore the LCM of Fractions 817/150,312/275,978/259 is 41549352

Greatest Common Factor of 150,275,259 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,275,259 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

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 150,275,259 . The biggest common factor number is the GCF number.
So the greatest common factor 150,275,259 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 817/150, 312/275, 978/259

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 817/150, 312/275, 978/259?

Answer: LCM of Numerators as per given numbers 817/150, 312/275, 978/259 is

LCM of Numerators i.e. for 817,312,978 is 41549352

GCF of denominators i.e. for 150,275,259 is 1.

Thus, LCM of Fractions is 41549352.Finally, LCM of Fractions for 817/150, 312/275, 978/259 is 41549352.