Least Common Multiple of 80/512, 703/10, 514/251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/512, 703/10, 514/251 quickly i.e. 14453680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/512, 703/10, 514/251 is 14453680.

LCM(80/512, 703/10, 514/251) = 14453680

LCM of 80/512, 703/10, 514/251

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 80/512,703/10,514/251

Given numbers are 80/512,703/10,514/251

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 80,703,514

Least Common Multiple of Numerators i.e. LCM of 80,703,514 is 14453680.

GCF of Denominators means GCF of 512,10,251 as per the given fractions.

GCF of 512,10,251 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,703,514

LCM of Fractions 80/512,703/10,514/251 is 14453680

2 80, 703, 514
40, 703, 257

∴ So the LCM of the given numbers is 2 x 40 x 703 x 257 = 14453680

Least Common Multiple of 80,703,514 with GCF Formula

Least Common Multiple of 80,703,514 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 80,703,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,703,514) = 1

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

GCF(80,703,514) x common factors =1 x 2 = 2

LCM(80,703,514) = ( 80 × 703 × 514 ) / 2

LCM(80,703,514) = 28907360 / 2

LCM(80,703,514) = 14453680


Lets's calculate GCF of 512,10,251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14453680/1

Therefore the LCM of Fractions 80/512,703/10,514/251 is 14453680

Greatest Common Factor of 512,10,251 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,10,251 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 10

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

1,2,5,10

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Greatest Common Factor

We found the factors 512,10,251 . The biggest common factor number is the GCF number.
So the greatest common factor 512,10,251 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 80/512, 703/10, 514/251

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 80/512, 703/10, 514/251?

Answer: LCM of Numerators as per given numbers 80/512, 703/10, 514/251 is

LCM of Numerators i.e. for 80,703,514 is 14453680

GCF of denominators i.e. for 512,10,251 is 1.

Thus, LCM of Fractions is 14453680.Finally, LCM of Fractions for 80/512, 703/10, 514/251 is 14453680.