Euclid's Division Lemma Prime Factorisation Calculator Factors of a Number Calculator LCM Calculator GCF Calculator Factor Tree Calculator LCM of Decimals LCM of Fractions GCF of Decimals GCF of Fractions

Least Common Multiple of 9/32, 15/48, 27/54, 33/61

Know Least Common Multiple of fractions 9/32, 15/48, 27/54, 33/61 quickly i.e. 1485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/32, 15/48, 27/54, 33/61 is 1485.

LCM(9/32, 15/48, 27/54, 33/61) = 1485

LCM of 9/32, 15/48, 27/54, 33/61

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 9/32,15/48,27/54,33/61

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 9,15,27,33

Least Common Multiple of Numerators i.e. LCM of 9,15,27,33 is 1485.

GCF of Denominators means GCF of 32,48,54,61 as per the given fractions.

GCF of 32,48,54,61 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,15,27,33

Least Common Multiple (LCM) of 9,15,27,33 By Common Division

3 9, 15, 27, 33
3 3, 5, 9, 11
1, 5, 3, 11

∴ So the LCM of the given numbers is 3 x 3 x 1 x 5 x 3 x 11 = 1485

Least Common Multiple of 9,15,27,33 with GCF Formula

Least Common Multiple of 9,15,27,33 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 9,15,27,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,15,27,33) = 3

common factors(in case of two or more numbers have common factors) = 27

GCF(9,15,27,33) x common factors =3 x 27 = 81

LCM(9,15,27,33) = ( 9 × 15 × 27 × 33 ) / 81

LCM(9,15,27,33) = 120285 / 81

LCM(9,15,27,33) = 1485


Lets's calculate GCF of 32,48,54,61

Greatest Common Factor (GCF) of 32,48,54,61 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1485/1

Therefore the LCM of Fractions 9/32,15/48,27/54,33/61 is 1485

Greatest Common Factor of 32,48,54,61 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,48,54,61 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 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Greatest Common Factor

We found the factors 32,48,54,61 . The biggest common factor number is the GCF number.
So the greatest common factor 32,48,54,61 is 1.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9/32, 15/48, 27/54, 33/61

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 9/32, 15/48, 27/54, 33/61?

Answer: LCM of Numerators as per given numbers 9/32, 15/48, 27/54, 33/61 is

LCM of Numerators i.e. for 9,15,27,33 is 1485

GCF of denominators i.e. for 32,48,54,61 is 1.

Thus, LCM of Fractions is 1485.Finally, LCM of Fractions for 9/32, 15/48, 27/54, 33/61 is 1485.