Least Common Multiple of 87/476, 52/208, 586/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/476, 52/208, 586/563 quickly i.e. 1325532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/476, 52/208, 586/563 is 1325532.

LCM(87/476, 52/208, 586/563) = 1325532

LCM of 87/476, 52/208, 586/563

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 87/476,52/208,586/563

Given numbers are 87/476,52/208,586/563

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 87,52,586

Least Common Multiple of Numerators i.e. LCM of 87,52,586 is 1325532.

GCF of Denominators means GCF of 476,208,563 as per the given fractions.

GCF of 476,208,563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,52,586

LCM of Fractions 87/476,52/208,586/563 is 1325532

2 87, 52, 586
87, 26, 293

∴ So the LCM of the given numbers is 2 x 87 x 26 x 293 = 1325532

Least Common Multiple of 87,52,586 with GCF Formula

Least Common Multiple of 87,52,586 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 87,52,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,52,586) = 1

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

GCF(87,52,586) x common factors =1 x 2 = 2

LCM(87,52,586) = ( 87 × 52 × 586 ) / 2

LCM(87,52,586) = 2651064 / 2

LCM(87,52,586) = 1325532


Lets's calculate GCF of 476,208,563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1325532/1

Therefore the LCM of Fractions 87/476,52/208,586/563 is 1325532

Greatest Common Factor of 476,208,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,208,563 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 476,208,563 . The biggest common factor number is the GCF number.
So the greatest common factor 476,208,563 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 87/476, 52/208, 586/563

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 87/476, 52/208, 586/563?

Answer: LCM of Numerators as per given numbers 87/476, 52/208, 586/563 is

LCM of Numerators i.e. for 87,52,586 is 1325532

GCF of denominators i.e. for 476,208,563 is 1.

Thus, LCM of Fractions is 1325532.Finally, LCM of Fractions for 87/476, 52/208, 586/563 is 1325532.