Least Common Multiple of 681/914, 395/615, 585/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 681/914, 395/615, 585/577 quickly i.e. 10490805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 681/914, 395/615, 585/577 is 10490805.

LCM(681/914, 395/615, 585/577) = 10490805

LCM of 681/914, 395/615, 585/577

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 681/914,395/615,585/577

Given numbers are 681/914,395/615,585/577

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 681,395,585

Least Common Multiple of Numerators i.e. LCM of 681,395,585 is 10490805.

GCF of Denominators means GCF of 914,615,577 as per the given fractions.

GCF of 914,615,577 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 681,395,585

LCM of Fractions 681/914,395/615,585/577 is 10490805

3 681, 395, 585
5 227, 395, 195
227, 79, 39

∴ So the LCM of the given numbers is 3 x 5 x 227 x 79 x 39 = 10490805

Least Common Multiple of 681,395,585 with GCF Formula

Least Common Multiple of 681,395,585 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 681,395,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,395,585) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(681,395,585) x common factors =1 x 15 = 15

LCM(681,395,585) = ( 681 × 395 × 585 ) / 15

LCM(681,395,585) = 157362075 / 15

LCM(681,395,585) = 10490805


Lets's calculate GCF of 914,615,577

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10490805/1

Therefore the LCM of Fractions 681/914,395/615,585/577 is 10490805

Greatest Common Factor of 914,615,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 914,615,577 By Matching Biggest Common Factor Method

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Greatest Common Factor

We found the factors 914,615,577 . The biggest common factor number is the GCF number.
So the greatest common factor 914,615,577 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 681/914, 395/615, 585/577

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 681/914, 395/615, 585/577?

Answer: LCM of Numerators as per given numbers 681/914, 395/615, 585/577 is

LCM of Numerators i.e. for 681,395,585 is 10490805

GCF of denominators i.e. for 914,615,577 is 1.

Thus, LCM of Fractions is 10490805.Finally, LCM of Fractions for 681/914, 395/615, 585/577 is 10490805.