Least Common Multiple of 636/441, 816/300, 562/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 636/441, 816/300, 562/746 quickly i.e. 12152688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 636/441, 816/300, 562/746 is 12152688.

LCM(636/441, 816/300, 562/746) = 12152688

LCM of 636/441, 816/300, 562/746

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 636/441,816/300,562/746

Given numbers are 636/441,816/300,562/746

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 636,816,562

Least Common Multiple of Numerators i.e. LCM of 636,816,562 is 12152688.

GCF of Denominators means GCF of 441,300,746 as per the given fractions.

GCF of 441,300,746 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 636,816,562

LCM of Fractions 636/441,816/300,562/746 is 12152688

2 636, 816, 562
2 318, 408, 281
3 159, 204, 281
53, 68, 281

∴ So the LCM of the given numbers is 2 x 2 x 3 x 53 x 68 x 281 = 12152688

Least Common Multiple of 636,816,562 with GCF Formula

Least Common Multiple of 636,816,562 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 636,816,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,816,562) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(636,816,562) x common factors =2 x 12 = 24

LCM(636,816,562) = ( 636 × 816 × 562 ) / 24

LCM(636,816,562) = 291664512 / 24

LCM(636,816,562) = 12152688


Lets's calculate GCF of 441,300,746

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12152688/1

Therefore the LCM of Fractions 636/441,816/300,562/746 is 12152688

Greatest Common Factor of 441,300,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,300,746 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 441,300,746 . The biggest common factor number is the GCF number.
So the greatest common factor 441,300,746 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 636/441, 816/300, 562/746

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 636/441, 816/300, 562/746?

Answer: LCM of Numerators as per given numbers 636/441, 816/300, 562/746 is

LCM of Numerators i.e. for 636,816,562 is 12152688

GCF of denominators i.e. for 441,300,746 is 1.

Thus, LCM of Fractions is 12152688.Finally, LCM of Fractions for 636/441, 816/300, 562/746 is 12152688.