Least Common Multiple of 74/715, 585/866, 790/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/715, 585/866, 790/663 quickly i.e. 3419910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/715, 585/866, 790/663 is 3419910.

LCM(74/715, 585/866, 790/663) = 3419910

LCM of 74/715, 585/866, 790/663

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 74/715,585/866,790/663

Given numbers are 74/715,585/866,790/663

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 74,585,790

Least Common Multiple of Numerators i.e. LCM of 74,585,790 is 3419910.

GCF of Denominators means GCF of 715,866,663 as per the given fractions.

GCF of 715,866,663 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,585,790

LCM of Fractions 74/715,585/866,790/663 is 3419910

2 74, 585, 790
5 37, 585, 395
37, 117, 79

∴ So the LCM of the given numbers is 2 x 5 x 37 x 117 x 79 = 3419910

Least Common Multiple of 74,585,790 with GCF Formula

Least Common Multiple of 74,585,790 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 74,585,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,585,790) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(74,585,790) x common factors =1 x 10 = 10

LCM(74,585,790) = ( 74 × 585 × 790 ) / 10

LCM(74,585,790) = 34199100 / 10

LCM(74,585,790) = 3419910


Lets's calculate GCF of 715,866,663

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3419910/1

Therefore the LCM of Fractions 74/715,585/866,790/663 is 3419910

Greatest Common Factor of 715,866,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,866,663 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 715,866,663 . The biggest common factor number is the GCF number.
So the greatest common factor 715,866,663 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 74/715, 585/866, 790/663

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 74/715, 585/866, 790/663?

Answer: LCM of Numerators as per given numbers 74/715, 585/866, 790/663 is

LCM of Numerators i.e. for 74,585,790 is 3419910

GCF of denominators i.e. for 715,866,663 is 1.

Thus, LCM of Fractions is 3419910.Finally, LCM of Fractions for 74/715, 585/866, 790/663 is 3419910.