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Least Common Multiple of 18/50, 30/75, 54/175

Know Least Common Multiple of fractions 18/50, 30/75, 54/175 quickly i.e. 270/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/50, 30/75, 54/175 is 270/25.

LCM(18/50, 30/75, 54/175) = 270/25

LCM of 18/50, 30/75, 54/175

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 18/50,30/75,54/175

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 18,30,54

Least Common Multiple of Numerators i.e. LCM of 18,30,54 is 270.

GCF of Denominators means GCF of 50,75,175 as per the given fractions.

GCF of 50,75,175 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,30,54

Least Common Multiple (LCM) of 18,30,54 By Common Division

2 18, 30, 54
3 9, 15, 27
3 3, 5, 9
1, 5, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 5 x 3 = 270

Least Common Multiple of 18,30,54 with GCF Formula

Least Common Multiple of 18,30,54 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 18,30,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,30,54) = 6

common factors(in case of two or more numbers have common factors) = 18

GCF(18,30,54) x common factors =6 x 18 = 108

LCM(18,30,54) = ( 18 × 30 × 54 ) / 108

LCM(18,30,54) = 29160 / 108

LCM(18,30,54) = 270


Lets's calculate GCF of 50,75,175

Greatest Common Factor (GCF) of 50,75,175 By Common Division

5 50, 75, 175
5 10, 15, 35
2, 3, 7

∴ So the GCF of the given numbers is 5 x 5 = 25

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270/25

Therefore the LCM of Fractions 18/50,30/75,54/175 is 270/25

Greatest Common Factor of 50,75,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,75,175 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 50,75,175 . The biggest common factor number is the GCF number.
So the greatest common factor 50,75,175 is 25.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 18/50, 30/75, 54/175

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 18/50, 30/75, 54/175?

Answer: LCM of Numerators as per given numbers 18/50, 30/75, 54/175 is

LCM of Numerators i.e. for 18,30,54 is 270

GCF of denominators i.e. for 50,75,175 is 25.

Thus, LCM of Fractions is 270/25.Finally, LCM of Fractions for 18/50, 30/75, 54/175 is 270/25.