Least Common Multiple of 17/32, 315/34, 568/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/32, 315/34, 568/140 quickly i.e. 1520820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/32, 315/34, 568/140 is 1520820.

LCM(17/32, 315/34, 568/140) = 1520820

LCM of 17/32, 315/34, 568/140

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 17/32,315/34,568/140

Given numbers are 17/32,315/34,568/140

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 17,315,568

Least Common Multiple of Numerators i.e. LCM of 17,315,568 is 3041640.

GCF of Denominators means GCF of 32,34,140 as per the given fractions.

GCF of 32,34,140 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,315,568

LCM of Fractions 17/32,315/34,568/140 is 1520820

Given numbers has no common factors except 1. So, there LCM is their product i.e 3041640

Least Common Multiple of 17,315,568 with GCF Formula

Least Common Multiple of 17,315,568 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 17,315,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,315,568) = 1

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

GCF(17,315,568) x common factors =1 x 1 = 1

LCM(17,315,568) = ( 17 × 315 × 568 ) / 1

LCM(17,315,568) = 3041640 / 1

LCM(17,315,568) = 3041640


Lets's calculate GCF of 32,34,140

2 32, 34, 140
16, 17, 70

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3041640/2

Therefore the LCM of Fractions 17/32,315/34,568/140 is 1520820

Greatest Common Factor of 32,34,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,34,140 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 32,34,140 . The biggest common factor number is the GCF number.
So the greatest common factor 32,34,140 is 2.


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 17/32, 315/34, 568/140

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 17/32, 315/34, 568/140?

Answer: LCM of Numerators as per given numbers 17/32, 315/34, 568/140 is

LCM of Numerators i.e. for 17,315,568 is 3041640

GCF of denominators i.e. for 32,34,140 is 2.

Thus, LCM of Fractions is 1520820.Finally, LCM of Fractions for 17/32, 315/34, 568/140 is 1520820.