Least Common Multiple of 709/551, 449/104, 649/161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 709/551, 449/104, 649/161 quickly i.e. 206603309 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 709/551, 449/104, 649/161 is 206603309.

LCM(709/551, 449/104, 649/161) = 206603309

LCM of 709/551, 449/104, 649/161

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 709/551,449/104,649/161

Given numbers are 709/551,449/104,649/161

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 709,449,649

Least Common Multiple of Numerators i.e. LCM of 709,449,649 is 206603309.

GCF of Denominators means GCF of 551,104,161 as per the given fractions.

GCF of 551,104,161 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 709,449,649

LCM of Fractions 709/551,449/104,649/161 is 206603309

Given numbers has no common factors except 1. So, there LCM is their product i.e 206603309

Least Common Multiple of 709,449,649 with GCF Formula

Least Common Multiple of 709,449,649 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 709,449,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,449,649) = 1

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

GCF(709,449,649) x common factors =1 x 1 = 1

LCM(709,449,649) = ( 709 × 449 × 649 ) / 1

LCM(709,449,649) = 206603309 / 1

LCM(709,449,649) = 206603309


Lets's calculate GCF of 551,104,161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 206603309/1

Therefore the LCM of Fractions 709/551,449/104,649/161 is 206603309

Greatest Common Factor of 551,104,161 By Matching Biggest Common Factor Method

Greatest Common Factor of 551,104,161 By Matching Biggest Common Factor Method

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

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

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Greatest Common Factor

We found the factors 551,104,161 . The biggest common factor number is the GCF number.
So the greatest common factor 551,104,161 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 709/551, 449/104, 649/161

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 709/551, 449/104, 649/161?

Answer: LCM of Numerators as per given numbers 709/551, 449/104, 649/161 is

LCM of Numerators i.e. for 709,449,649 is 206603309

GCF of denominators i.e. for 551,104,161 is 1.

Thus, LCM of Fractions is 206603309.Finally, LCM of Fractions for 709/551, 449/104, 649/161 is 206603309.