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Least Common Multiple of 45/180, 75/225, 100/270

Know Least Common Multiple of fractions 45/180, 75/225, 100/270 quickly i.e. 20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/180, 75/225, 100/270 is 20.

LCM(45/180, 75/225, 100/270) = 20

LCM of 45/180, 75/225, 100/270

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 45/180,75/225,100/270

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 45,75,100

Least Common Multiple of Numerators i.e. LCM of 45,75,100 is 900.

GCF of Denominators means GCF of 180,225,270 as per the given fractions.

GCF of 180,225,270 is 45 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,75,100

Least Common Multiple (LCM) of 45,75,100 By Common Division

3 45, 75, 100
5 15, 25, 100
5 3, 5, 20
3, 1, 4

∴ So the LCM of the given numbers is 3 x 5 x 5 x 3 x 1 x 4 = 900

Least Common Multiple of 45,75,100 with GCF Formula

Least Common Multiple of 45,75,100 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 45,75,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,75,100) = 5

common factors(in case of two or more numbers have common factors) = 15

GCF(45,75,100) x common factors =5 x 15 = 75

LCM(45,75,100) = ( 45 × 75 × 100 ) / 75

LCM(45,75,100) = 337500 / 75

LCM(45,75,100) = 900


Lets's calculate GCF of 180,225,270

Greatest Common Factor (GCF) of 180,225,270 By Common Division

3 180, 225, 270
3 60, 75, 90
5 20, 25, 30
4, 5, 6

∴ So the GCF of the given numbers is 3 x 3 x 5 = 45

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 900/45

Therefore the LCM of Fractions 45/180,75/225,100/270 is 20

Greatest Common Factor of 180,225,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,225,270 By Matching Biggest Common Factor Method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 180,225,270 . The biggest common factor number is the GCF number.
So the greatest common factor 180,225,270 is 45.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 45/180, 75/225, 100/270

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 45/180, 75/225, 100/270?

Answer: LCM of Numerators as per given numbers 45/180, 75/225, 100/270 is

LCM of Numerators i.e. for 45,75,100 is 900

GCF of denominators i.e. for 180,225,270 is 45.

Thus, LCM of Fractions is 20.Finally, LCM of Fractions for 45/180, 75/225, 100/270 is 20.