Least Common Multiple of 564/886, 575/163, 313/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/886, 575/163, 313/909 quickly i.e. 101505900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/886, 575/163, 313/909 is 101505900.

LCM(564/886, 575/163, 313/909) = 101505900

LCM of 564/886, 575/163, 313/909

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 564/886,575/163,313/909

Given numbers are 564/886,575/163,313/909

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 564,575,313

Least Common Multiple of Numerators i.e. LCM of 564,575,313 is 101505900.

GCF of Denominators means GCF of 886,163,909 as per the given fractions.

GCF of 886,163,909 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,575,313

LCM of Fractions 564/886,575/163,313/909 is 101505900

Given numbers has no common factors except 1. So, there LCM is their product i.e 101505900

Least Common Multiple of 564,575,313 with GCF Formula

Least Common Multiple of 564,575,313 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 564,575,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,575,313) = 1

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

GCF(564,575,313) x common factors =1 x 1 = 1

LCM(564,575,313) = ( 564 × 575 × 313 ) / 1

LCM(564,575,313) = 101505900 / 1

LCM(564,575,313) = 101505900


Lets's calculate GCF of 886,163,909

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101505900/1

Therefore the LCM of Fractions 564/886,575/163,313/909 is 101505900

Greatest Common Factor of 886,163,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 886,163,909 By Matching Biggest Common Factor Method

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 886,163,909 . The biggest common factor number is the GCF number.
So the greatest common factor 886,163,909 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 564/886, 575/163, 313/909

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 564/886, 575/163, 313/909?

Answer: LCM of Numerators as per given numbers 564/886, 575/163, 313/909 is

LCM of Numerators i.e. for 564,575,313 is 101505900

GCF of denominators i.e. for 886,163,909 is 1.

Thus, LCM of Fractions is 101505900.Finally, LCM of Fractions for 564/886, 575/163, 313/909 is 101505900.