Least Common Multiple of 71/65, 78/33, 80/20, 71/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/65, 78/33, 80/20, 71/101 quickly i.e. 221520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/65, 78/33, 80/20, 71/101 is 221520.

LCM(71/65, 78/33, 80/20, 71/101) = 221520

LCM of 71/65, 78/33, 80/20, 71/101

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 71/65,78/33,80/20,71/101

Given numbers are 71/65,78/33,80/20,71/101

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 71,78,80,71

Least Common Multiple of Numerators i.e. LCM of 71,78,80,71 is 221520.

GCF of Denominators means GCF of 65,33,20,101 as per the given fractions.

GCF of 65,33,20,101 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,78,80,71

LCM of Fractions 71/65,78/33,80/20,71/101 is 221520

2 71, 78, 80, 71
71 71, 39, 40, 71
1, 39, 40, 1

∴ So the LCM of the given numbers is 2 x 71 x 1 x 39 x 40 x 1 = 221520

Least Common Multiple of 71,78,80,71 with GCF Formula

Least Common Multiple of 71,78,80,71 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 71,78,80,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,78,80,71) = 1

common factors(in case of two or more numbers have common factors) = 142

GCF(71,78,80,71) x common factors =1 x 142 = 142

LCM(71,78,80,71) = ( 71 × 78 × 80 × 71 ) / 142

LCM(71,78,80,71) = 31455840 / 142

LCM(71,78,80,71) = 221520


Lets's calculate GCF of 65,33,20,101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221520/1

Therefore the LCM of Fractions 71/65,78/33,80/20,71/101 is 221520

Greatest Common Factor of 65,33,20,101 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,33,20,101 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 33

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

1,3,11,33

Factors of 20

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

1,2,4,5,10,20

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Greatest Common Factor

We found the factors 65,33,20,101 . The biggest common factor number is the GCF number.
So the greatest common factor 65,33,20,101 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 71/65, 78/33, 80/20, 71/101

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 71/65, 78/33, 80/20, 71/101?

Answer: LCM of Numerators as per given numbers 71/65, 78/33, 80/20, 71/101 is

LCM of Numerators i.e. for 71,78,80,71 is 221520

GCF of denominators i.e. for 65,33,20,101 is 1.

Thus, LCM of Fractions is 221520.Finally, LCM of Fractions for 71/65, 78/33, 80/20, 71/101 is 221520.