Least Common Multiple of 71/24, 15/72, 47/88, 79/853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/24, 15/72, 47/88, 79/853 quickly i.e. 3954345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/24, 15/72, 47/88, 79/853 is 3954345.

LCM(71/24, 15/72, 47/88, 79/853) = 3954345

LCM of 71/24, 15/72, 47/88, 79/853

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 71/24,15/72,47/88,79/853

Given numbers are 71/24,15/72,47/88,79/853

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 71,15,47,79

Least Common Multiple of Numerators i.e. LCM of 71,15,47,79 is 3954345.

GCF of Denominators means GCF of 24,72,88,853 as per the given fractions.

GCF of 24,72,88,853 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,15,47,79

LCM of Fractions 71/24,15/72,47/88,79/853 is 3954345

Given numbers has no common factors except 1. So, there LCM is their product i.e 3954345

Least Common Multiple of 71,15,47,79 with GCF Formula

Least Common Multiple of 71,15,47,79 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 71,15,47,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,15,47,79) = 1

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

GCF(71,15,47,79) x common factors =1 x 1 = 1

LCM(71,15,47,79) = ( 71 × 15 × 47 × 79 ) / 1

LCM(71,15,47,79) = 3954345 / 1

LCM(71,15,47,79) = 3954345


Lets's calculate GCF of 24,72,88,853

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3954345/1

Therefore the LCM of Fractions 71/24,15/72,47/88,79/853 is 3954345

Greatest Common Factor of 24,72,88,853 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,72,88,853 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

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 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Greatest Common Factor

We found the factors 24,72,88,853 . The biggest common factor number is the GCF number.
So the greatest common factor 24,72,88,853 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 71/24, 15/72, 47/88, 79/853

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 71/24, 15/72, 47/88, 79/853?

Answer: LCM of Numerators as per given numbers 71/24, 15/72, 47/88, 79/853 is

LCM of Numerators i.e. for 71,15,47,79 is 3954345

GCF of denominators i.e. for 24,72,88,853 is 1.

Thus, LCM of Fractions is 3954345.Finally, LCM of Fractions for 71/24, 15/72, 47/88, 79/853 is 3954345.