Least Common Multiple of 509/768, 347/100, 206/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 509/768, 347/100, 206/662 quickly i.e. 18192169 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 509/768, 347/100, 206/662 is 18192169.

LCM(509/768, 347/100, 206/662) = 18192169

LCM of 509/768, 347/100, 206/662

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 509/768,347/100,206/662

Given numbers are 509/768,347/100,206/662

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 509,347,206

Least Common Multiple of Numerators i.e. LCM of 509,347,206 is 36384338.

GCF of Denominators means GCF of 768,100,662 as per the given fractions.

GCF of 768,100,662 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 509,347,206

LCM of Fractions 509/768,347/100,206/662 is 18192169

Given numbers has no common factors except 1. So, there LCM is their product i.e 36384338

Least Common Multiple of 509,347,206 with GCF Formula

Least Common Multiple of 509,347,206 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 509,347,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,347,206) = 1

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

GCF(509,347,206) x common factors =1 x 1 = 1

LCM(509,347,206) = ( 509 × 347 × 206 ) / 1

LCM(509,347,206) = 36384338 / 1

LCM(509,347,206) = 36384338


Lets's calculate GCF of 768,100,662

2 768, 100, 662
384, 50, 331

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36384338/2

Therefore the LCM of Fractions 509/768,347/100,206/662 is 18192169

Greatest Common Factor of 768,100,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,100,662 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Greatest Common Factor

We found the factors 768,100,662 . The biggest common factor number is the GCF number.
So the greatest common factor 768,100,662 is 2.


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 509/768, 347/100, 206/662

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 509/768, 347/100, 206/662?

Answer: LCM of Numerators as per given numbers 509/768, 347/100, 206/662 is

LCM of Numerators i.e. for 509,347,206 is 36384338

GCF of denominators i.e. for 768,100,662 is 2.

Thus, LCM of Fractions is 18192169.Finally, LCM of Fractions for 509/768, 347/100, 206/662 is 18192169.