Least Common Multiple of 866/578, 510/513, 367/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 866/578, 510/513, 367/750 quickly i.e. 81044610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 866/578, 510/513, 367/750 is 81044610.

LCM(866/578, 510/513, 367/750) = 81044610

LCM of 866/578, 510/513, 367/750

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 866/578,510/513,367/750

Given numbers are 866/578,510/513,367/750

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 866,510,367

Least Common Multiple of Numerators i.e. LCM of 866,510,367 is 81044610.

GCF of Denominators means GCF of 578,513,750 as per the given fractions.

GCF of 578,513,750 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 866,510,367

LCM of Fractions 866/578,510/513,367/750 is 81044610

2 866, 510, 367
433, 255, 367

∴ So the LCM of the given numbers is 2 x 433 x 255 x 367 = 81044610

Least Common Multiple of 866,510,367 with GCF Formula

Least Common Multiple of 866,510,367 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 866,510,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,510,367) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(866,510,367) x common factors =1 x 2 = 2

LCM(866,510,367) = ( 866 × 510 × 367 ) / 2

LCM(866,510,367) = 162089220 / 2

LCM(866,510,367) = 81044610


Lets's calculate GCF of 578,513,750

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81044610/1

Therefore the LCM of Fractions 866/578,510/513,367/750 is 81044610

Greatest Common Factor of 578,513,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,513,750 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 578,513,750 . The biggest common factor number is the GCF number.
So the greatest common factor 578,513,750 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 866/578, 510/513, 367/750

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 866/578, 510/513, 367/750?

Answer: LCM of Numerators as per given numbers 866/578, 510/513, 367/750 is

LCM of Numerators i.e. for 866,510,367 is 81044610

GCF of denominators i.e. for 578,513,750 is 1.

Thus, LCM of Fractions is 81044610.Finally, LCM of Fractions for 866/578, 510/513, 367/750 is 81044610.