Least Common Multiple of 532/82, 562/4387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 532/82, 562/4387 quickly i.e. 149492/41 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 532/82, 562/4387 is 149492/41.

LCM(532/82, 562/4387) = 149492/41

LCM of 532/82, 562/4387

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 532/82,562/4387

Given numbers are 532/82,562/4387

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 532,562

Least Common Multiple of Numerators i.e. LCM of 532,562 is 149492.

GCF of Denominators means GCF of 82,4387 as per the given fractions.

GCF of 82,4387 is 41 as it is the largest common factor for these numbers.

Lets's calculate LCM of 532,562

LCM of Fractions 532/82,562/4387 is 149492/41

2 532, 562
266, 281

∴ So the LCM of the given numbers is 2 x 266 x 281 = 149492

Least Common Multiple of 532,562 with GCF Formula

Least Common Multiple of 532,562 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 532,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,562) = 2

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

GCF(532,562) x common factors =2 x 1 = 2

LCM(532,562) = ( 532 × 562 ) / 2

LCM(532,562) = 298984 / 2

LCM(532,562) = 149492


Lets's calculate GCF of 82,4387

41 82, 4387
2, 107

∴ So the GCF of the given numbers is 41 = 41

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149492/41

Therefore the LCM of Fractions 532/82,562/4387 is 149492/41

Greatest Common Factor of 82,4387 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,4387 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 4387

List of positive integer factors of 4387 that divides 4387 without a remainder.

1,41,107,4387

Greatest Common Factor

We found the factors 82,4387 . The biggest common factor number is the GCF number.
So the greatest common factor 82,4387 is 41.


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 532/82, 562/4387

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 532/82, 562/4387?

Answer: LCM of Numerators as per given numbers 532/82, 562/4387 is

LCM of Numerators i.e. for 532,562 is 149492

GCF of denominators i.e. for 82,4387 is 41.

Thus, LCM of Fractions is 149492/41.Finally, LCM of Fractions for 532/82, 562/4387 is 149492/41.