Least Common Multiple of 214/688, 439/576, 768/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/688, 439/576, 768/446 quickly i.e. 18037632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/688, 439/576, 768/446 is 18037632.

LCM(214/688, 439/576, 768/446) = 18037632

LCM of 214/688, 439/576, 768/446

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 214/688,439/576,768/446

Given numbers are 214/688,439/576,768/446

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 214,439,768

Least Common Multiple of Numerators i.e. LCM of 214,439,768 is 36075264.

GCF of Denominators means GCF of 688,576,446 as per the given fractions.

GCF of 688,576,446 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,439,768

LCM of Fractions 214/688,439/576,768/446 is 18037632

2 214, 439, 768
107, 439, 384

∴ So the LCM of the given numbers is 2 x 107 x 439 x 384 = 36075264

Least Common Multiple of 214,439,768 with GCF Formula

Least Common Multiple of 214,439,768 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 214,439,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,439,768) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(214,439,768) x common factors =1 x 2 = 2

LCM(214,439,768) = ( 214 × 439 × 768 ) / 2

LCM(214,439,768) = 72150528 / 2

LCM(214,439,768) = 36075264


Lets's calculate GCF of 688,576,446

2 688, 576, 446
344, 288, 223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36075264/2

Therefore the LCM of Fractions 214/688,439/576,768/446 is 18037632

Greatest Common Factor of 688,576,446 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,576,446 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Greatest Common Factor

We found the factors 688,576,446 . The biggest common factor number is the GCF number.
So the greatest common factor 688,576,446 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 214/688, 439/576, 768/446

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 214/688, 439/576, 768/446?

Answer: LCM of Numerators as per given numbers 214/688, 439/576, 768/446 is

LCM of Numerators i.e. for 214,439,768 is 36075264

GCF of denominators i.e. for 688,576,446 is 2.

Thus, LCM of Fractions is 18037632.Finally, LCM of Fractions for 214/688, 439/576, 768/446 is 18037632.