Least Common Multiple of 6/160, 17/360, 17/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/160, 17/360, 17/624 quickly i.e. 102/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/160, 17/360, 17/624 is 102/8.

LCM(6/160, 17/360, 17/624) = 102/8

LCM of 6/160, 17/360, 17/624

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 6/160,17/360,17/624

Given numbers are 6/160,17/360,17/624

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 6,17,17

Least Common Multiple of Numerators i.e. LCM of 6,17,17 is 102.

GCF of Denominators means GCF of 160,360,624 as per the given fractions.

GCF of 160,360,624 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,17,17

LCM of Fractions 6/160,17/360,17/624 is 102/8

17 6, 17, 17
6, 1, 1

∴ So the LCM of the given numbers is 17 x 6 x 1 x 1 = 102

Least Common Multiple of 6,17,17 with GCF Formula

Least Common Multiple of 6,17,17 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 6,17,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,17,17) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(6,17,17) x common factors =1 x 17 = 17

LCM(6,17,17) = ( 6 × 17 × 17 ) / 17

LCM(6,17,17) = 1734 / 17

LCM(6,17,17) = 102


Lets's calculate GCF of 160,360,624

2 160, 360, 624
2 80, 180, 312
2 40, 90, 156
20, 45, 78

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102/8

Therefore the LCM of Fractions 6/160,17/360,17/624 is 102/8

Greatest Common Factor of 160,360,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,360,624 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 160,360,624 . The biggest common factor number is the GCF number.
So the greatest common factor 160,360,624 is 8.


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 6/160, 17/360, 17/624

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 6/160, 17/360, 17/624?

Answer: LCM of Numerators as per given numbers 6/160, 17/360, 17/624 is

LCM of Numerators i.e. for 6,17,17 is 102

GCF of denominators i.e. for 160,360,624 is 8.

Thus, LCM of Fractions is 102/8.Finally, LCM of Fractions for 6/160, 17/360, 17/624 is 102/8.