Least Common Multiple of 74/30, 60/66, 159/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/30, 60/66, 159/566 quickly i.e. 58830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/30, 60/66, 159/566 is 58830.

LCM(74/30, 60/66, 159/566) = 58830

LCM of 74/30, 60/66, 159/566

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 74/30,60/66,159/566

Given numbers are 74/30,60/66,159/566

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 74,60,159

Least Common Multiple of Numerators i.e. LCM of 74,60,159 is 117660.

GCF of Denominators means GCF of 30,66,566 as per the given fractions.

GCF of 30,66,566 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,60,159

LCM of Fractions 74/30,60/66,159/566 is 58830

2 74, 60, 159
3 37, 30, 159
37, 10, 53

∴ So the LCM of the given numbers is 2 x 3 x 37 x 10 x 53 = 117660

Least Common Multiple of 74,60,159 with GCF Formula

Least Common Multiple of 74,60,159 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 74,60,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,60,159) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(74,60,159) x common factors =1 x 6 = 6

LCM(74,60,159) = ( 74 × 60 × 159 ) / 6

LCM(74,60,159) = 705960 / 6

LCM(74,60,159) = 117660


Lets's calculate GCF of 30,66,566

2 30, 66, 566
15, 33, 283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117660/2

Therefore the LCM of Fractions 74/30,60/66,159/566 is 58830

Greatest Common Factor of 30,66,566 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,66,566 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

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 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Greatest Common Factor

We found the factors 30,66,566 . The biggest common factor number is the GCF number.
So the greatest common factor 30,66,566 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 74/30, 60/66, 159/566

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 74/30, 60/66, 159/566?

Answer: LCM of Numerators as per given numbers 74/30, 60/66, 159/566 is

LCM of Numerators i.e. for 74,60,159 is 117660

GCF of denominators i.e. for 30,66,566 is 2.

Thus, LCM of Fractions is 58830.Finally, LCM of Fractions for 74/30, 60/66, 159/566 is 58830.