Least Common Multiple of 4408/768, 4176/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4408/768, 4176/782 quickly i.e. 39672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4408/768, 4176/782 is 39672.

LCM(4408/768, 4176/782) = 39672

LCM of 4408/768, 4176/782

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 4408/768,4176/782

Given numbers are 4408/768,4176/782

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 4408,4176

Least Common Multiple of Numerators i.e. LCM of 4408,4176 is 79344.

GCF of Denominators means GCF of 768,782 as per the given fractions.

GCF of 768,782 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4408,4176

LCM of Fractions 4408/768,4176/782 is 39672

2 4408, 4176
2 2204, 2088
2 1102, 1044
29 551, 522
19, 18

∴ So the LCM of the given numbers is 2 x 2 x 2 x 29 x 19 x 18 = 79344

Least Common Multiple of 4408,4176 with GCF Formula

Least Common Multiple of 4408,4176 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 4408,4176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4408,4176) = 232

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

GCF(4408,4176) x common factors =232 x 1 = 232

LCM(4408,4176) = ( 4408 × 4176 ) / 232

LCM(4408,4176) = 18407808 / 232

LCM(4408,4176) = 79344


Lets's calculate GCF of 768,782

2 768, 782
384, 391

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79344/2

Therefore the LCM of Fractions 4408/768,4176/782 is 39672

Greatest Common Factor of 768,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,782 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 768,782 . The biggest common factor number is the GCF number.
So the greatest common factor 768,782 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 4408/768, 4176/782

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 4408/768, 4176/782?

Answer: LCM of Numerators as per given numbers 4408/768, 4176/782 is

LCM of Numerators i.e. for 4408,4176 is 79344

GCF of denominators i.e. for 768,782 is 2.

Thus, LCM of Fractions is 39672.Finally, LCM of Fractions for 4408/768, 4176/782 is 39672.