Least Common Multiple of 32/438, 6680/7689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/438, 6680/7689 quickly i.e. 26720/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/438, 6680/7689 is 26720/3.

LCM(32/438, 6680/7689) = 26720/3

LCM of 32/438, 6680/7689

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 32/438,6680/7689

Given numbers are 32/438,6680/7689

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 32,6680

Least Common Multiple of Numerators i.e. LCM of 32,6680 is 26720.

GCF of Denominators means GCF of 438,7689 as per the given fractions.

GCF of 438,7689 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,6680

LCM of Fractions 32/438,6680/7689 is 26720/3

2 32, 6680
2 16, 3340
2 8, 1670
4, 835

∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 835 = 26720

Least Common Multiple of 32,6680 with GCF Formula

Least Common Multiple of 32,6680 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 32,6680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,6680) = 8

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

GCF(32,6680) x common factors =8 x 1 = 8

LCM(32,6680) = ( 32 × 6680 ) / 8

LCM(32,6680) = 213760 / 8

LCM(32,6680) = 26720


Lets's calculate GCF of 438,7689

3 438, 7689
146, 2563

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26720/3

Therefore the LCM of Fractions 32/438,6680/7689 is 26720/3

Greatest Common Factor of 438,7689 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,7689 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 7689

List of positive integer factors of 7689 that divides 7689 without a remainder.

1,3,11,33,233,699,2563,7689

Greatest Common Factor

We found the factors 438,7689 . The biggest common factor number is the GCF number.
So the greatest common factor 438,7689 is 3.


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 32/438, 6680/7689

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 32/438, 6680/7689?

Answer: LCM of Numerators as per given numbers 32/438, 6680/7689 is

LCM of Numerators i.e. for 32,6680 is 26720

GCF of denominators i.e. for 438,7689 is 3.

Thus, LCM of Fractions is 26720/3.Finally, LCM of Fractions for 32/438, 6680/7689 is 26720/3.