Least Common Multiple of 772/10, 291/80, 382/19

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 772/10, 291/80, 382/19 quickly i.e. 42908532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 772/10, 291/80, 382/19 is 42908532.

LCM(772/10, 291/80, 382/19) = 42908532

LCM of 772/10, 291/80, 382/19

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 772/10,291/80,382/19

Given numbers are 772/10,291/80,382/19

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 772,291,382

Least Common Multiple of Numerators i.e. LCM of 772,291,382 is 42908532.

GCF of Denominators means GCF of 10,80,19 as per the given fractions.

GCF of 10,80,19 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 772,291,382

LCM of Fractions 772/10,291/80,382/19 is 42908532

2 772, 291, 382
386, 291, 191

∴ So the LCM of the given numbers is 2 x 386 x 291 x 191 = 42908532

Least Common Multiple of 772,291,382 with GCF Formula

Least Common Multiple of 772,291,382 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 772,291,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,291,382) = 1

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

GCF(772,291,382) x common factors =1 x 2 = 2

LCM(772,291,382) = ( 772 × 291 × 382 ) / 2

LCM(772,291,382) = 85817064 / 2

LCM(772,291,382) = 42908532


Lets's calculate GCF of 10,80,19

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42908532/1

Therefore the LCM of Fractions 772/10,291/80,382/19 is 42908532

Greatest Common Factor of 10,80,19 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,80,19 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Greatest Common Factor

We found the factors 10,80,19 . The biggest common factor number is the GCF number.
So the greatest common factor 10,80,19 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 772/10, 291/80, 382/19

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 772/10, 291/80, 382/19?

Answer: LCM of Numerators as per given numbers 772/10, 291/80, 382/19 is

LCM of Numerators i.e. for 772,291,382 is 42908532

GCF of denominators i.e. for 10,80,19 is 1.

Thus, LCM of Fractions is 42908532.Finally, LCM of Fractions for 772/10, 291/80, 382/19 is 42908532.