Least Common Multiple of 74/66, 94/99, 45/75, 96/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/66, 94/99, 45/75, 96/594 quickly i.e. 834720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/66, 94/99, 45/75, 96/594 is 834720.

LCM(74/66, 94/99, 45/75, 96/594) = 834720

LCM of 74/66, 94/99, 45/75, 96/594

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 74/66,94/99,45/75,96/594

Given numbers are 74/66,94/99,45/75,96/594

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 74,94,45,96

Least Common Multiple of Numerators i.e. LCM of 74,94,45,96 is 2504160.

GCF of Denominators means GCF of 66,99,75,594 as per the given fractions.

GCF of 66,99,75,594 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,94,45,96

LCM of Fractions 74/66,94/99,45/75,96/594 is 834720

2 74, 94, 45, 96
3 37, 47, 45, 48
37, 47, 15, 16

∴ So the LCM of the given numbers is 2 x 3 x 37 x 47 x 15 x 16 = 2504160

Least Common Multiple of 74,94,45,96 with GCF Formula

Least Common Multiple of 74,94,45,96 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 74,94,45,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,94,45,96) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(74,94,45,96) x common factors =1 x 12 = 12

LCM(74,94,45,96) = ( 74 × 94 × 45 × 96 ) / 12

LCM(74,94,45,96) = 30049920 / 12

LCM(74,94,45,96) = 2504160


Lets's calculate GCF of 66,99,75,594

3 66, 99, 75, 594
22, 33, 25, 198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2504160/3

Therefore the LCM of Fractions 74/66,94/99,45/75,96/594 is 834720

Greatest Common Factor of 66,99,75,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,99,75,594 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 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Greatest Common Factor

We found the factors 66,99,75,594 . The biggest common factor number is the GCF number.
So the greatest common factor 66,99,75,594 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 74/66, 94/99, 45/75, 96/594

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 74/66, 94/99, 45/75, 96/594?

Answer: LCM of Numerators as per given numbers 74/66, 94/99, 45/75, 96/594 is

LCM of Numerators i.e. for 74,94,45,96 is 2504160

GCF of denominators i.e. for 66,99,75,594 is 3.

Thus, LCM of Fractions is 834720.Finally, LCM of Fractions for 74/66, 94/99, 45/75, 96/594 is 834720.