Least Common Multiple of 17/834, 65/382, 896/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/834, 65/382, 896/319 quickly i.e. 990080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/834, 65/382, 896/319 is 990080.

LCM(17/834, 65/382, 896/319) = 990080

LCM of 17/834, 65/382, 896/319

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 17/834,65/382,896/319

Given numbers are 17/834,65/382,896/319

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 17,65,896

Least Common Multiple of Numerators i.e. LCM of 17,65,896 is 990080.

GCF of Denominators means GCF of 834,382,319 as per the given fractions.

GCF of 834,382,319 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,65,896

LCM of Fractions 17/834,65/382,896/319 is 990080

Given numbers has no common factors except 1. So, there LCM is their product i.e 990080

Least Common Multiple of 17,65,896 with GCF Formula

Least Common Multiple of 17,65,896 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 17,65,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,65,896) = 1

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

GCF(17,65,896) x common factors =1 x 1 = 1

LCM(17,65,896) = ( 17 × 65 × 896 ) / 1

LCM(17,65,896) = 990080 / 1

LCM(17,65,896) = 990080


Lets's calculate GCF of 834,382,319

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 990080/1

Therefore the LCM of Fractions 17/834,65/382,896/319 is 990080

Greatest Common Factor of 834,382,319 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,382,319 By Matching Biggest Common Factor Method

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Greatest Common Factor

We found the factors 834,382,319 . The biggest common factor number is the GCF number.
So the greatest common factor 834,382,319 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 17/834, 65/382, 896/319

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 17/834, 65/382, 896/319?

Answer: LCM of Numerators as per given numbers 17/834, 65/382, 896/319 is

LCM of Numerators i.e. for 17,65,896 is 990080

GCF of denominators i.e. for 834,382,319 is 1.

Thus, LCM of Fractions is 990080.Finally, LCM of Fractions for 17/834, 65/382, 896/319 is 990080.