Least Common Multiple of 71/14, 72/87, 39/22, 96/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/14, 72/87, 39/22, 96/488 quickly i.e. 265824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/14, 72/87, 39/22, 96/488 is 265824.

LCM(71/14, 72/87, 39/22, 96/488) = 265824

LCM of 71/14, 72/87, 39/22, 96/488

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 71/14,72/87,39/22,96/488

Given numbers are 71/14,72/87,39/22,96/488

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 71,72,39,96

Least Common Multiple of Numerators i.e. LCM of 71,72,39,96 is 265824.

GCF of Denominators means GCF of 14,87,22,488 as per the given fractions.

GCF of 14,87,22,488 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,72,39,96

LCM of Fractions 71/14,72/87,39/22,96/488 is 265824

2 71, 72, 39, 96
2 71, 36, 39, 48
2 71, 18, 39, 24
3 71, 9, 39, 12
71, 3, 13, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 71 x 3 x 13 x 4 = 265824

Least Common Multiple of 71,72,39,96 with GCF Formula

Least Common Multiple of 71,72,39,96 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 71,72,39,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,72,39,96) = 1

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

GCF(71,72,39,96) x common factors =1 x 72 = 72

LCM(71,72,39,96) = ( 71 × 72 × 39 × 96 ) / 72

LCM(71,72,39,96) = 19139328 / 72

LCM(71,72,39,96) = 265824


Lets's calculate GCF of 14,87,22,488

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 265824/1

Therefore the LCM of Fractions 71/14,72/87,39/22,96/488 is 265824

Greatest Common Factor of 14,87,22,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,87,22,488 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 14,87,22,488 . The biggest common factor number is the GCF number.
So the greatest common factor 14,87,22,488 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 71/14, 72/87, 39/22, 96/488

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 71/14, 72/87, 39/22, 96/488?

Answer: LCM of Numerators as per given numbers 71/14, 72/87, 39/22, 96/488 is

LCM of Numerators i.e. for 71,72,39,96 is 265824

GCF of denominators i.e. for 14,87,22,488 is 1.

Thus, LCM of Fractions is 265824.Finally, LCM of Fractions for 71/14, 72/87, 39/22, 96/488 is 265824.