Least Common Multiple of 7/38, 58/434, 71/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/38, 58/434, 71/320 quickly i.e. 14413 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/38, 58/434, 71/320 is 14413.

LCM(7/38, 58/434, 71/320) = 14413

LCM of 7/38, 58/434, 71/320

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 7/38,58/434,71/320

Given numbers are 7/38,58/434,71/320

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 7,58,71

Least Common Multiple of Numerators i.e. LCM of 7,58,71 is 28826.

GCF of Denominators means GCF of 38,434,320 as per the given fractions.

GCF of 38,434,320 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,58,71

LCM of Fractions 7/38,58/434,71/320 is 14413

Given numbers has no common factors except 1. So, there LCM is their product i.e 28826

Least Common Multiple of 7,58,71 with GCF Formula

Least Common Multiple of 7,58,71 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 7,58,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,58,71) = 1

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

GCF(7,58,71) x common factors =1 x 1 = 1

LCM(7,58,71) = ( 7 × 58 × 71 ) / 1

LCM(7,58,71) = 28826 / 1

LCM(7,58,71) = 28826


Lets's calculate GCF of 38,434,320

2 38, 434, 320
19, 217, 160

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28826/2

Therefore the LCM of Fractions 7/38,58/434,71/320 is 14413

Greatest Common Factor of 38,434,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,434,320 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 38,434,320 . The biggest common factor number is the GCF number.
So the greatest common factor 38,434,320 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 7/38, 58/434, 71/320

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 7/38, 58/434, 71/320?

Answer: LCM of Numerators as per given numbers 7/38, 58/434, 71/320 is

LCM of Numerators i.e. for 7,58,71 is 28826

GCF of denominators i.e. for 38,434,320 is 2.

Thus, LCM of Fractions is 14413.Finally, LCM of Fractions for 7/38, 58/434, 71/320 is 14413.