Least Common Multiple of 768/512, 805/142, 914/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 768/512, 805/142, 914/531 quickly i.e. 282535680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 768/512, 805/142, 914/531 is 282535680.

LCM(768/512, 805/142, 914/531) = 282535680

LCM of 768/512, 805/142, 914/531

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 768/512,805/142,914/531

Given numbers are 768/512,805/142,914/531

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 768,805,914

Least Common Multiple of Numerators i.e. LCM of 768,805,914 is 282535680.

GCF of Denominators means GCF of 512,142,531 as per the given fractions.

GCF of 512,142,531 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 768,805,914

LCM of Fractions 768/512,805/142,914/531 is 282535680

2 768, 805, 914
384, 805, 457

∴ So the LCM of the given numbers is 2 x 384 x 805 x 457 = 282535680

Least Common Multiple of 768,805,914 with GCF Formula

Least Common Multiple of 768,805,914 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 768,805,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,805,914) = 1

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

GCF(768,805,914) x common factors =1 x 2 = 2

LCM(768,805,914) = ( 768 × 805 × 914 ) / 2

LCM(768,805,914) = 565071360 / 2

LCM(768,805,914) = 282535680


Lets's calculate GCF of 512,142,531

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 282535680/1

Therefore the LCM of Fractions 768/512,805/142,914/531 is 282535680

Greatest Common Factor of 512,142,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,142,531 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 512,142,531 . The biggest common factor number is the GCF number.
So the greatest common factor 512,142,531 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 768/512, 805/142, 914/531

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 768/512, 805/142, 914/531?

Answer: LCM of Numerators as per given numbers 768/512, 805/142, 914/531 is

LCM of Numerators i.e. for 768,805,914 is 282535680

GCF of denominators i.e. for 512,142,531 is 1.

Thus, LCM of Fractions is 282535680.Finally, LCM of Fractions for 768/512, 805/142, 914/531 is 282535680.