Least Common Multiple of 76/30, 40/33, 24/27, 85/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/30, 40/33, 24/27, 85/660 quickly i.e. 12920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/30, 40/33, 24/27, 85/660 is 12920.

LCM(76/30, 40/33, 24/27, 85/660) = 12920

LCM of 76/30, 40/33, 24/27, 85/660

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 76/30,40/33,24/27,85/660

Given numbers are 76/30,40/33,24/27,85/660

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 76,40,24,85

Least Common Multiple of Numerators i.e. LCM of 76,40,24,85 is 38760.

GCF of Denominators means GCF of 30,33,27,660 as per the given fractions.

GCF of 30,33,27,660 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,40,24,85

LCM of Fractions 76/30,40/33,24/27,85/660 is 12920

2 76, 40, 24, 85
2 38, 20, 12, 85
2 19, 10, 6, 85
5 19, 5, 3, 85
19, 1, 3, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 19 x 1 x 3 x 17 = 38760

Least Common Multiple of 76,40,24,85 with GCF Formula

Least Common Multiple of 76,40,24,85 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 76,40,24,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,40,24,85) = 1

common factors(in case of two or more numbers have common factors) = 160

GCF(76,40,24,85) x common factors =1 x 160 = 160

LCM(76,40,24,85) = ( 76 × 40 × 24 × 85 ) / 160

LCM(76,40,24,85) = 6201600 / 160

LCM(76,40,24,85) = 38760


Lets's calculate GCF of 30,33,27,660

3 30, 33, 27, 660
10, 11, 9, 220

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38760/3

Therefore the LCM of Fractions 76/30,40/33,24/27,85/660 is 12920

Greatest Common Factor of 30,33,27,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,33,27,660 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 33

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

1,3,11,33

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 30,33,27,660 . The biggest common factor number is the GCF number.
So the greatest common factor 30,33,27,660 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 76/30, 40/33, 24/27, 85/660

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 76/30, 40/33, 24/27, 85/660?

Answer: LCM of Numerators as per given numbers 76/30, 40/33, 24/27, 85/660 is

LCM of Numerators i.e. for 76,40,24,85 is 38760

GCF of denominators i.e. for 30,33,27,660 is 3.

Thus, LCM of Fractions is 12920.Finally, LCM of Fractions for 76/30, 40/33, 24/27, 85/660 is 12920.