Least Common Multiple of 832/14, 514/8913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 832/14, 514/8913 quickly i.e. 213824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 832/14, 514/8913 is 213824.

LCM(832/14, 514/8913) = 213824

LCM of 832/14, 514/8913

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 832/14,514/8913

Given numbers are 832/14,514/8913

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 832,514

Least Common Multiple of Numerators i.e. LCM of 832,514 is 213824.

GCF of Denominators means GCF of 14,8913 as per the given fractions.

GCF of 14,8913 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 832,514

LCM of Fractions 832/14,514/8913 is 213824

2 832, 514
416, 257

∴ So the LCM of the given numbers is 2 x 416 x 257 = 213824

Least Common Multiple of 832,514 with GCF Formula

Least Common Multiple of 832,514 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 832,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(832,514) = 2

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

GCF(832,514) x common factors =2 x 1 = 2

LCM(832,514) = ( 832 × 514 ) / 2

LCM(832,514) = 427648 / 2

LCM(832,514) = 213824


Lets's calculate GCF of 14,8913

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213824/1

Therefore the LCM of Fractions 832/14,514/8913 is 213824

Greatest Common Factor of 14,8913 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,8913 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 8913

List of positive integer factors of 8913 that divides 8913 without a remainder.

1,3,2971,8913

Greatest Common Factor

We found the factors 14,8913 . The biggest common factor number is the GCF number.
So the greatest common factor 14,8913 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 832/14, 514/8913

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 832/14, 514/8913?

Answer: LCM of Numerators as per given numbers 832/14, 514/8913 is

LCM of Numerators i.e. for 832,514 is 213824

GCF of denominators i.e. for 14,8913 is 1.

Thus, LCM of Fractions is 213824.Finally, LCM of Fractions for 832/14, 514/8913 is 213824.