Least Common Multiple of 24/30, 73/34, 19/78, 91/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/30, 73/34, 19/78, 91/668 quickly i.e. 1514604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/30, 73/34, 19/78, 91/668 is 1514604.

LCM(24/30, 73/34, 19/78, 91/668) = 1514604

LCM of 24/30, 73/34, 19/78, 91/668

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 24/30,73/34,19/78,91/668

Given numbers are 24/30,73/34,19/78,91/668

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 24,73,19,91

Least Common Multiple of Numerators i.e. LCM of 24,73,19,91 is 3029208.

GCF of Denominators means GCF of 30,34,78,668 as per the given fractions.

GCF of 30,34,78,668 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,73,19,91

LCM of Fractions 24/30,73/34,19/78,91/668 is 1514604

Given numbers has no common factors except 1. So, there LCM is their product i.e 3029208

Least Common Multiple of 24,73,19,91 with GCF Formula

Least Common Multiple of 24,73,19,91 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 24,73,19,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,73,19,91) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(24,73,19,91) x common factors =1 x 1 = 1

LCM(24,73,19,91) = ( 24 × 73 × 19 × 91 ) / 1

LCM(24,73,19,91) = 3029208 / 1

LCM(24,73,19,91) = 3029208


Lets's calculate GCF of 30,34,78,668

2 30, 34, 78, 668
15, 17, 39, 334

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3029208/2

Therefore the LCM of Fractions 24/30,73/34,19/78,91/668 is 1514604

Greatest Common Factor of 30,34,78,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,34,78,668 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 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Greatest Common Factor

We found the factors 30,34,78,668 . The biggest common factor number is the GCF number.
So the greatest common factor 30,34,78,668 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 24/30, 73/34, 19/78, 91/668

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 24/30, 73/34, 19/78, 91/668?

Answer: LCM of Numerators as per given numbers 24/30, 73/34, 19/78, 91/668 is

LCM of Numerators i.e. for 24,73,19,91 is 3029208

GCF of denominators i.e. for 30,34,78,668 is 2.

Thus, LCM of Fractions is 1514604.Finally, LCM of Fractions for 24/30, 73/34, 19/78, 91/668 is 1514604.