Least Common Multiple of 170/960, 990/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 170/960, 990/399 quickly i.e. 5610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 170/960, 990/399 is 5610.

LCM(170/960, 990/399) = 5610

LCM of 170/960, 990/399

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 170/960,990/399

Given numbers are 170/960,990/399

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 170,990

Least Common Multiple of Numerators i.e. LCM of 170,990 is 16830.

GCF of Denominators means GCF of 960,399 as per the given fractions.

GCF of 960,399 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 170,990

LCM of Fractions 170/960,990/399 is 5610

2 170, 990
5 85, 495
17, 99

∴ So the LCM of the given numbers is 2 x 5 x 17 x 99 = 16830

Least Common Multiple of 170,990 with GCF Formula

Least Common Multiple of 170,990 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 170,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(170,990) = 10

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

GCF(170,990) x common factors =10 x 1 = 10

LCM(170,990) = ( 170 × 990 ) / 10

LCM(170,990) = 168300 / 10

LCM(170,990) = 16830


Lets's calculate GCF of 960,399

3 960, 399
320, 133

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16830/3

Therefore the LCM of Fractions 170/960,990/399 is 5610

Greatest Common Factor of 960,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,399 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 960,399 . The biggest common factor number is the GCF number.
So the greatest common factor 960,399 is 3.


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 170/960, 990/399

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 170/960, 990/399?

Answer: LCM of Numerators as per given numbers 170/960, 990/399 is

LCM of Numerators i.e. for 170,990 is 16830

GCF of denominators i.e. for 960,399 is 3.

Thus, LCM of Fractions is 5610.Finally, LCM of Fractions for 170/960, 990/399 is 5610.