Least Common Multiple of 66/20, 16/910, 133/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 66/20, 16/910, 133/555 quickly i.e. 70224/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/20, 16/910, 133/555 is 70224/5.

LCM(66/20, 16/910, 133/555) = 70224/5

LCM of 66/20, 16/910, 133/555

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 66/20,16/910,133/555

Given numbers are 66/20,16/910,133/555

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 66,16,133

Least Common Multiple of Numerators i.e. LCM of 66,16,133 is 70224.

GCF of Denominators means GCF of 20,910,555 as per the given fractions.

GCF of 20,910,555 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,16,133

LCM of Fractions 66/20,16/910,133/555 is 70224/5

2 66, 16, 133
33, 8, 133

∴ So the LCM of the given numbers is 2 x 33 x 8 x 133 = 70224

Least Common Multiple of 66,16,133 with GCF Formula

Least Common Multiple of 66,16,133 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 66,16,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,16,133) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(66,16,133) x common factors =1 x 2 = 2

LCM(66,16,133) = ( 66 × 16 × 133 ) / 2

LCM(66,16,133) = 140448 / 2

LCM(66,16,133) = 70224


Lets's calculate GCF of 20,910,555

5 20, 910, 555
4, 182, 111

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70224/5

Therefore the LCM of Fractions 66/20,16/910,133/555 is 70224/5

Greatest Common Factor of 20,910,555 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,910,555 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Greatest Common Factor

We found the factors 20,910,555 . The biggest common factor number is the GCF number.
So the greatest common factor 20,910,555 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 66/20, 16/910, 133/555

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 66/20, 16/910, 133/555?

Answer: LCM of Numerators as per given numbers 66/20, 16/910, 133/555 is

LCM of Numerators i.e. for 66,16,133 is 70224

GCF of denominators i.e. for 20,910,555 is 5.

Thus, LCM of Fractions is 70224/5.Finally, LCM of Fractions for 66/20, 16/910, 133/555 is 70224/5.