Least Common Multiple of 659/88, 585/18, 246/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 659/88, 585/18, 246/814 quickly i.e. 15806115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 659/88, 585/18, 246/814 is 15806115.

LCM(659/88, 585/18, 246/814) = 15806115

LCM of 659/88, 585/18, 246/814

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 659/88,585/18,246/814

Given numbers are 659/88,585/18,246/814

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 659,585,246

Least Common Multiple of Numerators i.e. LCM of 659,585,246 is 31612230.

GCF of Denominators means GCF of 88,18,814 as per the given fractions.

GCF of 88,18,814 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 659,585,246

LCM of Fractions 659/88,585/18,246/814 is 15806115

3 659, 585, 246
659, 195, 82

∴ So the LCM of the given numbers is 3 x 659 x 195 x 82 = 31612230

Least Common Multiple of 659,585,246 with GCF Formula

Least Common Multiple of 659,585,246 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 659,585,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,585,246) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(659,585,246) x common factors =1 x 3 = 3

LCM(659,585,246) = ( 659 × 585 × 246 ) / 3

LCM(659,585,246) = 94836690 / 3

LCM(659,585,246) = 31612230


Lets's calculate GCF of 88,18,814

2 88, 18, 814
44, 9, 407

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31612230/2

Therefore the LCM of Fractions 659/88,585/18,246/814 is 15806115

Greatest Common Factor of 88,18,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,18,814 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 88,18,814 . The biggest common factor number is the GCF number.
So the greatest common factor 88,18,814 is 2.


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 659/88, 585/18, 246/814

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 659/88, 585/18, 246/814?

Answer: LCM of Numerators as per given numbers 659/88, 585/18, 246/814 is

LCM of Numerators i.e. for 659,585,246 is 31612230

GCF of denominators i.e. for 88,18,814 is 2.

Thus, LCM of Fractions is 15806115.Finally, LCM of Fractions for 659/88, 585/18, 246/814 is 15806115.