Least Common Multiple of 71/56, 192/59, 288/246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/56, 192/59, 288/246 quickly i.e. 40896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/56, 192/59, 288/246 is 40896.

LCM(71/56, 192/59, 288/246) = 40896

LCM of 71/56, 192/59, 288/246

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 71/56,192/59,288/246

Given numbers are 71/56,192/59,288/246

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 71,192,288

Least Common Multiple of Numerators i.e. LCM of 71,192,288 is 40896.

GCF of Denominators means GCF of 56,59,246 as per the given fractions.

GCF of 56,59,246 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,192,288

LCM of Fractions 71/56,192/59,288/246 is 40896

2 71, 192, 288
2 71, 96, 144
2 71, 48, 72
2 71, 24, 36
2 71, 12, 18
3 71, 6, 9
71, 2, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 71 x 2 x 3 = 40896

Least Common Multiple of 71,192,288 with GCF Formula

Least Common Multiple of 71,192,288 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 71,192,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,192,288) = 1

common factors(in case of two or more numbers have common factors) = 96

GCF(71,192,288) x common factors =1 x 96 = 96

LCM(71,192,288) = ( 71 × 192 × 288 ) / 96

LCM(71,192,288) = 3926016 / 96

LCM(71,192,288) = 40896


Lets's calculate GCF of 56,59,246

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40896/1

Therefore the LCM of Fractions 71/56,192/59,288/246 is 40896

Greatest Common Factor of 56,59,246 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,59,246 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Greatest Common Factor

We found the factors 56,59,246 . The biggest common factor number is the GCF number.
So the greatest common factor 56,59,246 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 71/56, 192/59, 288/246

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 71/56, 192/59, 288/246?

Answer: LCM of Numerators as per given numbers 71/56, 192/59, 288/246 is

LCM of Numerators i.e. for 71,192,288 is 40896

GCF of denominators i.e. for 56,59,246 is 1.

Thus, LCM of Fractions is 40896.Finally, LCM of Fractions for 71/56, 192/59, 288/246 is 40896.