Least Common Multiple of 30/19, 68/45, 99/64, 84/793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/19, 68/45, 99/64, 84/793 quickly i.e. 235620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/19, 68/45, 99/64, 84/793 is 235620.

LCM(30/19, 68/45, 99/64, 84/793) = 235620

LCM of 30/19, 68/45, 99/64, 84/793

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 30/19,68/45,99/64,84/793

Given numbers are 30/19,68/45,99/64,84/793

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 30,68,99,84

Least Common Multiple of Numerators i.e. LCM of 30,68,99,84 is 235620.

GCF of Denominators means GCF of 19,45,64,793 as per the given fractions.

GCF of 19,45,64,793 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,68,99,84

LCM of Fractions 30/19,68/45,99/64,84/793 is 235620

2 30, 68, 99, 84
2 15, 34, 99, 42
3 15, 17, 99, 21
5, 17, 33, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 17 x 33 x 7 = 235620

Least Common Multiple of 30,68,99,84 with GCF Formula

Least Common Multiple of 30,68,99,84 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 30,68,99,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,68,99,84) = 1

common factors(in case of two or more numbers have common factors) = 72

GCF(30,68,99,84) x common factors =1 x 72 = 72

LCM(30,68,99,84) = ( 30 × 68 × 99 × 84 ) / 72

LCM(30,68,99,84) = 16964640 / 72

LCM(30,68,99,84) = 235620


Lets's calculate GCF of 19,45,64,793

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235620/1

Therefore the LCM of Fractions 30/19,68/45,99/64,84/793 is 235620

Greatest Common Factor of 19,45,64,793 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,45,64,793 By Matching Biggest Common Factor Method

Factors of 19

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

1,19

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Greatest Common Factor

We found the factors 19,45,64,793 . The biggest common factor number is the GCF number.
So the greatest common factor 19,45,64,793 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 30/19, 68/45, 99/64, 84/793

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 30/19, 68/45, 99/64, 84/793?

Answer: LCM of Numerators as per given numbers 30/19, 68/45, 99/64, 84/793 is

LCM of Numerators i.e. for 30,68,99,84 is 235620

GCF of denominators i.e. for 19,45,64,793 is 1.

Thus, LCM of Fractions is 235620.Finally, LCM of Fractions for 30/19, 68/45, 99/64, 84/793 is 235620.