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Least Common Multiple of 8/18, 108/24, 180/60

Know Least Common Multiple of fractions 8/18, 108/24, 180/60 quickly i.e. 180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/18, 108/24, 180/60 is 180.

LCM(8/18, 108/24, 180/60) = 180

LCM of 8/18, 108/24, 180/60

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Given numbers are 8/18,108/24,180/60

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 8,108,180

Least Common Multiple of Numerators i.e. LCM of 8,108,180 is 1080.

GCF of Denominators means GCF of 18,24,60 as per the given fractions.

GCF of 18,24,60 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,108,180

Least Common Multiple (LCM) of 8,108,180 By Common Division

2 8, 108, 180
2 4, 54, 90
3 2, 27, 45
3 2, 9, 15
2, 3, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 2 x 3 x 5 = 1080

Least Common Multiple of 8,108,180 with GCF Formula

Least Common Multiple of 8,108,180 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 8,108,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,108,180) = 4

common factors(in case of two or more numbers have common factors) = 36

GCF(8,108,180) x common factors =4 x 36 = 144

LCM(8,108,180) = ( 8 × 108 × 180 ) / 144

LCM(8,108,180) = 155520 / 144

LCM(8,108,180) = 1080


Lets's calculate GCF of 18,24,60

Greatest Common Factor (GCF) of 18,24,60 By Common Division

2 18, 24, 60
3 9, 12, 30
3, 4, 10

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1080/6

Therefore the LCM of Fractions 8/18,108/24,180/60 is 180

Greatest Common Factor of 18,24,60 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,24,60 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Greatest Common Factor

We found the factors 18,24,60 . The biggest common factor number is the GCF number.
So the greatest common factor 18,24,60 is 6.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8/18, 108/24, 180/60

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 8/18, 108/24, 180/60?

Answer: LCM of Numerators as per given numbers 8/18, 108/24, 180/60 is

LCM of Numerators i.e. for 8,108,180 is 1080

GCF of denominators i.e. for 18,24,60 is 6.

Thus, LCM of Fractions is 180.Finally, LCM of Fractions for 8/18, 108/24, 180/60 is 180.