Least Common Multiple of 66/76, 68/19, 20/54, 17/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/76, 68/19, 20/54, 17/711 quickly i.e. 11220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/76, 68/19, 20/54, 17/711 is 11220.

LCM(66/76, 68/19, 20/54, 17/711) = 11220

LCM of 66/76, 68/19, 20/54, 17/711

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 66/76,68/19,20/54,17/711

Given numbers are 66/76,68/19,20/54,17/711

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 66,68,20,17

Least Common Multiple of Numerators i.e. LCM of 66,68,20,17 is 11220.

GCF of Denominators means GCF of 76,19,54,711 as per the given fractions.

GCF of 76,19,54,711 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,68,20,17

LCM of Fractions 66/76,68/19,20/54,17/711 is 11220

2 66, 68, 20, 17
2 33, 34, 10, 17
17 33, 17, 5, 17
33, 1, 5, 1

∴ So the LCM of the given numbers is 2 x 2 x 17 x 33 x 1 x 5 x 1 = 11220

Least Common Multiple of 66,68,20,17 with GCF Formula

Least Common Multiple of 66,68,20,17 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 66,68,20,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,68,20,17) = 1

common factors(in case of two or more numbers have common factors) = 136

GCF(66,68,20,17) x common factors =1 x 136 = 136

LCM(66,68,20,17) = ( 66 × 68 × 20 × 17 ) / 136

LCM(66,68,20,17) = 1525920 / 136

LCM(66,68,20,17) = 11220


Lets's calculate GCF of 76,19,54,711

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11220/1

Therefore the LCM of Fractions 66/76,68/19,20/54,17/711 is 11220

Greatest Common Factor of 76,19,54,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,19,54,711 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

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 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Greatest Common Factor

We found the factors 76,19,54,711 . The biggest common factor number is the GCF number.
So the greatest common factor 76,19,54,711 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 66/76, 68/19, 20/54, 17/711

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 66/76, 68/19, 20/54, 17/711?

Answer: LCM of Numerators as per given numbers 66/76, 68/19, 20/54, 17/711 is

LCM of Numerators i.e. for 66,68,20,17 is 11220

GCF of denominators i.e. for 76,19,54,711 is 1.

Thus, LCM of Fractions is 11220.Finally, LCM of Fractions for 66/76, 68/19, 20/54, 17/711 is 11220.