Least Common Multiple of 509/31, 384/97, 905/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 509/31, 384/97, 905/447 quickly i.e. 176887680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 509/31, 384/97, 905/447 is 176887680.

LCM(509/31, 384/97, 905/447) = 176887680

LCM of 509/31, 384/97, 905/447

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 509/31,384/97,905/447

Given numbers are 509/31,384/97,905/447

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 509,384,905

Least Common Multiple of Numerators i.e. LCM of 509,384,905 is 176887680.

GCF of Denominators means GCF of 31,97,447 as per the given fractions.

GCF of 31,97,447 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 509,384,905

LCM of Fractions 509/31,384/97,905/447 is 176887680

Given numbers has no common factors except 1. So, there LCM is their product i.e 176887680

Least Common Multiple of 509,384,905 with GCF Formula

Least Common Multiple of 509,384,905 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 509,384,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,384,905) = 1

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

GCF(509,384,905) x common factors =1 x 1 = 1

LCM(509,384,905) = ( 509 × 384 × 905 ) / 1

LCM(509,384,905) = 176887680 / 1

LCM(509,384,905) = 176887680


Lets's calculate GCF of 31,97,447

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176887680/1

Therefore the LCM of Fractions 509/31,384/97,905/447 is 176887680

Greatest Common Factor of 31,97,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,97,447 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 31,97,447 . The biggest common factor number is the GCF number.
So the greatest common factor 31,97,447 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 509/31, 384/97, 905/447

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 509/31, 384/97, 905/447?

Answer: LCM of Numerators as per given numbers 509/31, 384/97, 905/447 is

LCM of Numerators i.e. for 509,384,905 is 176887680

GCF of denominators i.e. for 31,97,447 is 1.

Thus, LCM of Fractions is 176887680.Finally, LCM of Fractions for 509/31, 384/97, 905/447 is 176887680.