Least Common Multiple of 636/290, 446/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 636/290, 446/706 quickly i.e. 70914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 636/290, 446/706 is 70914.

LCM(636/290, 446/706) = 70914

LCM of 636/290, 446/706

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 636/290,446/706

Given numbers are 636/290,446/706

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 636,446

Least Common Multiple of Numerators i.e. LCM of 636,446 is 141828.

GCF of Denominators means GCF of 290,706 as per the given fractions.

GCF of 290,706 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 636,446

LCM of Fractions 636/290,446/706 is 70914

2 636, 446
318, 223

∴ So the LCM of the given numbers is 2 x 318 x 223 = 141828

Least Common Multiple of 636,446 with GCF Formula

Least Common Multiple of 636,446 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 636,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,446) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(636,446) x common factors =2 x 1 = 2

LCM(636,446) = ( 636 × 446 ) / 2

LCM(636,446) = 283656 / 2

LCM(636,446) = 141828


Lets's calculate GCF of 290,706

2 290, 706
145, 353

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141828/2

Therefore the LCM of Fractions 636/290,446/706 is 70914

Greatest Common Factor of 290,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,706 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 290,706 . The biggest common factor number is the GCF number.
So the greatest common factor 290,706 is 2.


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 636/290, 446/706

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 636/290, 446/706?

Answer: LCM of Numerators as per given numbers 636/290, 446/706 is

LCM of Numerators i.e. for 636,446 is 141828

GCF of denominators i.e. for 290,706 is 2.

Thus, LCM of Fractions is 70914.Finally, LCM of Fractions for 636/290, 446/706 is 70914.