Least Common Multiple of 30/66, 21/40, 76/19, 30/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/66, 21/40, 76/19, 30/100 quickly i.e. 7980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/66, 21/40, 76/19, 30/100 is 7980.

LCM(30/66, 21/40, 76/19, 30/100) = 7980

LCM of 30/66, 21/40, 76/19, 30/100

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 30/66,21/40,76/19,30/100

Given numbers are 30/66,21/40,76/19,30/100

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 30,21,76,30

Least Common Multiple of Numerators i.e. LCM of 30,21,76,30 is 7980.

GCF of Denominators means GCF of 66,40,19,100 as per the given fractions.

GCF of 66,40,19,100 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,21,76,30

LCM of Fractions 30/66,21/40,76/19,30/100 is 7980

2 30, 21, 76, 30
3 15, 21, 38, 15
5 5, 7, 38, 5
1, 7, 38, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 7 x 38 x 1 = 7980

Least Common Multiple of 30,21,76,30 with GCF Formula

Least Common Multiple of 30,21,76,30 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 30,21,76,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,21,76,30) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(30,21,76,30) x common factors =1 x 180 = 180

LCM(30,21,76,30) = ( 30 × 21 × 76 × 30 ) / 180

LCM(30,21,76,30) = 1436400 / 180

LCM(30,21,76,30) = 7980


Lets's calculate GCF of 66,40,19,100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7980/1

Therefore the LCM of Fractions 30/66,21/40,76/19,30/100 is 7980

Greatest Common Factor of 66,40,19,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,40,19,100 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 40

List of positive integer factors of 40 that divides 40 without a remainder.

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

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 66,40,19,100 . The biggest common factor number is the GCF number.
So the greatest common factor 66,40,19,100 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 30/66, 21/40, 76/19, 30/100

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 30/66, 21/40, 76/19, 30/100?

Answer: LCM of Numerators as per given numbers 30/66, 21/40, 76/19, 30/100 is

LCM of Numerators i.e. for 30,21,76,30 is 7980

GCF of denominators i.e. for 66,40,19,100 is 1.

Thus, LCM of Fractions is 7980.Finally, LCM of Fractions for 30/66, 21/40, 76/19, 30/100 is 7980.