Least Common Multiple of 33/53, 467/35, 585/237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/53, 467/35, 585/237 quickly i.e. 3005145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/53, 467/35, 585/237 is 3005145.

LCM(33/53, 467/35, 585/237) = 3005145

LCM of 33/53, 467/35, 585/237

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 33/53,467/35,585/237

Given numbers are 33/53,467/35,585/237

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 33,467,585

Least Common Multiple of Numerators i.e. LCM of 33,467,585 is 3005145.

GCF of Denominators means GCF of 53,35,237 as per the given fractions.

GCF of 53,35,237 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,467,585

LCM of Fractions 33/53,467/35,585/237 is 3005145

3 33, 467, 585
11, 467, 195

∴ So the LCM of the given numbers is 3 x 11 x 467 x 195 = 3005145

Least Common Multiple of 33,467,585 with GCF Formula

Least Common Multiple of 33,467,585 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 33,467,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,467,585) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(33,467,585) x common factors =1 x 3 = 3

LCM(33,467,585) = ( 33 × 467 × 585 ) / 3

LCM(33,467,585) = 9015435 / 3

LCM(33,467,585) = 3005145


Lets's calculate GCF of 53,35,237

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3005145/1

Therefore the LCM of Fractions 33/53,467/35,585/237 is 3005145

Greatest Common Factor of 53,35,237 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,35,237 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Greatest Common Factor

We found the factors 53,35,237 . The biggest common factor number is the GCF number.
So the greatest common factor 53,35,237 is 1.


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 33/53, 467/35, 585/237

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 33/53, 467/35, 585/237?

Answer: LCM of Numerators as per given numbers 33/53, 467/35, 585/237 is

LCM of Numerators i.e. for 33,467,585 is 3005145

GCF of denominators i.e. for 53,35,237 is 1.

Thus, LCM of Fractions is 3005145.Finally, LCM of Fractions for 33/53, 467/35, 585/237 is 3005145.