Least Common Multiple of 563/482, 349/523, 437/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 563/482, 349/523, 437/649 quickly i.e. 85864819 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 563/482, 349/523, 437/649 is 85864819.

LCM(563/482, 349/523, 437/649) = 85864819

LCM of 563/482, 349/523, 437/649

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 563/482,349/523,437/649

Given numbers are 563/482,349/523,437/649

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 563,349,437

Least Common Multiple of Numerators i.e. LCM of 563,349,437 is 85864819.

GCF of Denominators means GCF of 482,523,649 as per the given fractions.

GCF of 482,523,649 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 563,349,437

LCM of Fractions 563/482,349/523,437/649 is 85864819

Given numbers has no common factors except 1. So, there LCM is their product i.e 85864819

Least Common Multiple of 563,349,437 with GCF Formula

Least Common Multiple of 563,349,437 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 563,349,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(563,349,437) = 1

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

GCF(563,349,437) x common factors =1 x 1 = 1

LCM(563,349,437) = ( 563 × 349 × 437 ) / 1

LCM(563,349,437) = 85864819 / 1

LCM(563,349,437) = 85864819


Lets's calculate GCF of 482,523,649

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85864819/1

Therefore the LCM of Fractions 563/482,349/523,437/649 is 85864819

Greatest Common Factor of 482,523,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 482,523,649 By Matching Biggest Common Factor Method

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 482,523,649 . The biggest common factor number is the GCF number.
So the greatest common factor 482,523,649 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 563/482, 349/523, 437/649

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 563/482, 349/523, 437/649?

Answer: LCM of Numerators as per given numbers 563/482, 349/523, 437/649 is

LCM of Numerators i.e. for 563,349,437 is 85864819

GCF of denominators i.e. for 482,523,649 is 1.

Thus, LCM of Fractions is 85864819.Finally, LCM of Fractions for 563/482, 349/523, 437/649 is 85864819.