Least Common Multiple of 38/72, 330/84, 296/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/72, 330/84, 296/471 quickly i.e. 309320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/72, 330/84, 296/471 is 309320.

LCM(38/72, 330/84, 296/471) = 309320

LCM of 38/72, 330/84, 296/471

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 38/72,330/84,296/471

Given numbers are 38/72,330/84,296/471

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 38,330,296

Least Common Multiple of Numerators i.e. LCM of 38,330,296 is 927960.

GCF of Denominators means GCF of 72,84,471 as per the given fractions.

GCF of 72,84,471 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,330,296

LCM of Fractions 38/72,330/84,296/471 is 309320

2 38, 330, 296
19, 165, 148

∴ So the LCM of the given numbers is 2 x 19 x 165 x 148 = 927960

Least Common Multiple of 38,330,296 with GCF Formula

Least Common Multiple of 38,330,296 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 38,330,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,330,296) = 2

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

GCF(38,330,296) x common factors =2 x 2 = 4

LCM(38,330,296) = ( 38 × 330 × 296 ) / 4

LCM(38,330,296) = 3711840 / 4

LCM(38,330,296) = 927960


Lets's calculate GCF of 72,84,471

3 72, 84, 471
24, 28, 157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 927960/3

Therefore the LCM of Fractions 38/72,330/84,296/471 is 309320

Greatest Common Factor of 72,84,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,84,471 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 72,84,471 . The biggest common factor number is the GCF number.
So the greatest common factor 72,84,471 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 38/72, 330/84, 296/471

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 38/72, 330/84, 296/471?

Answer: LCM of Numerators as per given numbers 38/72, 330/84, 296/471 is

LCM of Numerators i.e. for 38,330,296 is 927960

GCF of denominators i.e. for 72,84,471 is 3.

Thus, LCM of Fractions is 309320.Finally, LCM of Fractions for 38/72, 330/84, 296/471 is 309320.