Least Common Multiple of 32/271, 599/559, 586/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 32/271, 599/559, 586/674 quickly i.e. 5616224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/271, 599/559, 586/674 is 5616224.

LCM(32/271, 599/559, 586/674) = 5616224

LCM of 32/271, 599/559, 586/674

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 32/271,599/559,586/674

Given numbers are 32/271,599/559,586/674

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 32,599,586

Least Common Multiple of Numerators i.e. LCM of 32,599,586 is 5616224.

GCF of Denominators means GCF of 271,559,674 as per the given fractions.

GCF of 271,559,674 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,599,586

LCM of Fractions 32/271,599/559,586/674 is 5616224

2 32, 599, 586
16, 599, 293

∴ So the LCM of the given numbers is 2 x 16 x 599 x 293 = 5616224

Least Common Multiple of 32,599,586 with GCF Formula

Least Common Multiple of 32,599,586 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 32,599,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,599,586) = 1

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

GCF(32,599,586) x common factors =1 x 2 = 2

LCM(32,599,586) = ( 32 × 599 × 586 ) / 2

LCM(32,599,586) = 11232448 / 2

LCM(32,599,586) = 5616224


Lets's calculate GCF of 271,559,674

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5616224/1

Therefore the LCM of Fractions 32/271,599/559,586/674 is 5616224

Greatest Common Factor of 271,559,674 By Matching Biggest Common Factor Method

Greatest Common Factor of 271,559,674 By Matching Biggest Common Factor Method

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Greatest Common Factor

We found the factors 271,559,674 . The biggest common factor number is the GCF number.
So the greatest common factor 271,559,674 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 32/271, 599/559, 586/674

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 32/271, 599/559, 586/674?

Answer: LCM of Numerators as per given numbers 32/271, 599/559, 586/674 is

LCM of Numerators i.e. for 32,599,586 is 5616224

GCF of denominators i.e. for 271,559,674 is 1.

Thus, LCM of Fractions is 5616224.Finally, LCM of Fractions for 32/271, 599/559, 586/674 is 5616224.