Least Common Multiple of 704/32, 756/11, 683/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 704/32, 756/11, 683/684 quickly i.e. 90877248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 704/32, 756/11, 683/684 is 90877248.

LCM(704/32, 756/11, 683/684) = 90877248

LCM of 704/32, 756/11, 683/684

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 704/32,756/11,683/684

Given numbers are 704/32,756/11,683/684

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 704,756,683

Least Common Multiple of Numerators i.e. LCM of 704,756,683 is 90877248.

GCF of Denominators means GCF of 32,11,684 as per the given fractions.

GCF of 32,11,684 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 704,756,683

LCM of Fractions 704/32,756/11,683/684 is 90877248

2 704, 756, 683
2 352, 378, 683
176, 189, 683

∴ So the LCM of the given numbers is 2 x 2 x 176 x 189 x 683 = 90877248

Least Common Multiple of 704,756,683 with GCF Formula

Least Common Multiple of 704,756,683 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 704,756,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,756,683) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(704,756,683) x common factors =1 x 4 = 4

LCM(704,756,683) = ( 704 × 756 × 683 ) / 4

LCM(704,756,683) = 363508992 / 4

LCM(704,756,683) = 90877248


Lets's calculate GCF of 32,11,684

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90877248/1

Therefore the LCM of Fractions 704/32,756/11,683/684 is 90877248

Greatest Common Factor of 32,11,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,11,684 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 32,11,684 . The biggest common factor number is the GCF number.
So the greatest common factor 32,11,684 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 704/32, 756/11, 683/684

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 704/32, 756/11, 683/684?

Answer: LCM of Numerators as per given numbers 704/32, 756/11, 683/684 is

LCM of Numerators i.e. for 704,756,683 is 90877248

GCF of denominators i.e. for 32,11,684 is 1.

Thus, LCM of Fractions is 90877248.Finally, LCM of Fractions for 704/32, 756/11, 683/684 is 90877248.