Least Common Multiple of 35/72, 17/33, 55/12, 45/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/72, 17/33, 55/12, 45/540 quickly i.e. 19635 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/72, 17/33, 55/12, 45/540 is 19635.

LCM(35/72, 17/33, 55/12, 45/540) = 19635

LCM of 35/72, 17/33, 55/12, 45/540

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 35/72,17/33,55/12,45/540

Given numbers are 35/72,17/33,55/12,45/540

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 35,17,55,45

Least Common Multiple of Numerators i.e. LCM of 35,17,55,45 is 58905.

GCF of Denominators means GCF of 72,33,12,540 as per the given fractions.

GCF of 72,33,12,540 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,17,55,45

LCM of Fractions 35/72,17/33,55/12,45/540 is 19635

5 35, 17, 55, 45
7, 17, 11, 9

∴ So the LCM of the given numbers is 5 x 7 x 17 x 11 x 9 = 58905

Least Common Multiple of 35,17,55,45 with GCF Formula

Least Common Multiple of 35,17,55,45 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 35,17,55,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,17,55,45) = 1

common factors(in case of two or more numbers have common factors) = 25

GCF(35,17,55,45) x common factors =1 x 25 = 25

LCM(35,17,55,45) = ( 35 × 17 × 55 × 45 ) / 25

LCM(35,17,55,45) = 1472625 / 25

LCM(35,17,55,45) = 58905


Lets's calculate GCF of 72,33,12,540

3 72, 33, 12, 540
24, 11, 4, 180

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58905/3

Therefore the LCM of Fractions 35/72,17/33,55/12,45/540 is 19635

Greatest Common Factor of 72,33,12,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,33,12,540 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 72,33,12,540 . The biggest common factor number is the GCF number.
So the greatest common factor 72,33,12,540 is 3.


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 35/72, 17/33, 55/12, 45/540

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 35/72, 17/33, 55/12, 45/540?

Answer: LCM of Numerators as per given numbers 35/72, 17/33, 55/12, 45/540 is

LCM of Numerators i.e. for 35,17,55,45 is 58905

GCF of denominators i.e. for 72,33,12,540 is 3.

Thus, LCM of Fractions is 19635.Finally, LCM of Fractions for 35/72, 17/33, 55/12, 45/540 is 19635.