Least Common Multiple of 75/66, 33/80, 65/62, 37/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/66, 33/80, 65/62, 37/608 quickly i.e. 396825/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/66, 33/80, 65/62, 37/608 is 396825/2.

LCM(75/66, 33/80, 65/62, 37/608) = 396825/2

LCM of 75/66, 33/80, 65/62, 37/608

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 75/66,33/80,65/62,37/608

Given numbers are 75/66,33/80,65/62,37/608

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 75,33,65,37

Least Common Multiple of Numerators i.e. LCM of 75,33,65,37 is 396825.

GCF of Denominators means GCF of 66,80,62,608 as per the given fractions.

GCF of 66,80,62,608 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,33,65,37

LCM of Fractions 75/66,33/80,65/62,37/608 is 396825/2

3 75, 33, 65, 37
5 25, 11, 65, 37
5, 11, 13, 37

∴ So the LCM of the given numbers is 3 x 5 x 5 x 11 x 13 x 37 = 396825

Least Common Multiple of 75,33,65,37 with GCF Formula

Least Common Multiple of 75,33,65,37 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 75,33,65,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,33,65,37) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(75,33,65,37) x common factors =1 x 15 = 15

LCM(75,33,65,37) = ( 75 × 33 × 65 × 37 ) / 15

LCM(75,33,65,37) = 5952375 / 15

LCM(75,33,65,37) = 396825


Lets's calculate GCF of 66,80,62,608

2 66, 80, 62, 608
33, 40, 31, 304

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 396825/2

Therefore the LCM of Fractions 75/66,33/80,65/62,37/608 is 396825/2

Greatest Common Factor of 66,80,62,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,80,62,608 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 66,80,62,608 . The biggest common factor number is the GCF number.
So the greatest common factor 66,80,62,608 is 2.


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 75/66, 33/80, 65/62, 37/608

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 75/66, 33/80, 65/62, 37/608?

Answer: LCM of Numerators as per given numbers 75/66, 33/80, 65/62, 37/608 is

LCM of Numerators i.e. for 75,33,65,37 is 396825

GCF of denominators i.e. for 66,80,62,608 is 2.

Thus, LCM of Fractions is 396825/2.Finally, LCM of Fractions for 75/66, 33/80, 65/62, 37/608 is 396825/2.