Least Common Multiple of 636/816, 224/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 636/816, 224/914 quickly i.e. 17808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 636/816, 224/914 is 17808.

LCM(636/816, 224/914) = 17808

LCM of 636/816, 224/914

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 636/816,224/914

Given numbers are 636/816,224/914

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 636,224

Least Common Multiple of Numerators i.e. LCM of 636,224 is 35616.

GCF of Denominators means GCF of 816,914 as per the given fractions.

GCF of 816,914 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 636,224

LCM of Fractions 636/816,224/914 is 17808

2 636, 224
2 318, 112
159, 56

∴ So the LCM of the given numbers is 2 x 2 x 159 x 56 = 35616

Least Common Multiple of 636,224 with GCF Formula

Least Common Multiple of 636,224 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 636,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,224) = 4

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

GCF(636,224) x common factors =4 x 1 = 4

LCM(636,224) = ( 636 × 224 ) / 4

LCM(636,224) = 142464 / 4

LCM(636,224) = 35616


Lets's calculate GCF of 816,914

2 816, 914
408, 457

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35616/2

Therefore the LCM of Fractions 636/816,224/914 is 17808

Greatest Common Factor of 816,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,914 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 914

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

1,2,457,914

Greatest Common Factor

We found the factors 816,914 . The biggest common factor number is the GCF number.
So the greatest common factor 816,914 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 636/816, 224/914

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 636/816, 224/914?

Answer: LCM of Numerators as per given numbers 636/816, 224/914 is

LCM of Numerators i.e. for 636,224 is 35616

GCF of denominators i.e. for 816,914 is 2.

Thus, LCM of Fractions is 17808.Finally, LCM of Fractions for 636/816, 224/914 is 17808.