Least Common Multiple of 72/32, 994/19, 470/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/32, 994/19, 470/930 quickly i.e. 8409240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/32, 994/19, 470/930 is 8409240.

LCM(72/32, 994/19, 470/930) = 8409240

LCM of 72/32, 994/19, 470/930

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 72/32,994/19,470/930

Given numbers are 72/32,994/19,470/930

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 72,994,470

Least Common Multiple of Numerators i.e. LCM of 72,994,470 is 8409240.

GCF of Denominators means GCF of 32,19,930 as per the given fractions.

GCF of 32,19,930 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,994,470

LCM of Fractions 72/32,994/19,470/930 is 8409240

2 72, 994, 470
36, 497, 235

∴ So the LCM of the given numbers is 2 x 36 x 497 x 235 = 8409240

Least Common Multiple of 72,994,470 with GCF Formula

Least Common Multiple of 72,994,470 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 72,994,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,994,470) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(72,994,470) x common factors =2 x 2 = 4

LCM(72,994,470) = ( 72 × 994 × 470 ) / 4

LCM(72,994,470) = 33636960 / 4

LCM(72,994,470) = 8409240


Lets's calculate GCF of 32,19,930

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8409240/1

Therefore the LCM of Fractions 72/32,994/19,470/930 is 8409240

Greatest Common Factor of 32,19,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,19,930 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 19

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

1,19

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 32,19,930 . The biggest common factor number is the GCF number.
So the greatest common factor 32,19,930 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 72/32, 994/19, 470/930

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 72/32, 994/19, 470/930?

Answer: LCM of Numerators as per given numbers 72/32, 994/19, 470/930 is

LCM of Numerators i.e. for 72,994,470 is 8409240

GCF of denominators i.e. for 32,19,930 is 1.

Thus, LCM of Fractions is 8409240.Finally, LCM of Fractions for 72/32, 994/19, 470/930 is 8409240.