Least Common Multiple of 398/344, 607/665, 909/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 398/344, 607/665, 909/671 quickly i.e. 219601674 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 398/344, 607/665, 909/671 is 219601674.

LCM(398/344, 607/665, 909/671) = 219601674

LCM of 398/344, 607/665, 909/671

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 398/344,607/665,909/671

Given numbers are 398/344,607/665,909/671

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 398,607,909

Least Common Multiple of Numerators i.e. LCM of 398,607,909 is 219601674.

GCF of Denominators means GCF of 344,665,671 as per the given fractions.

GCF of 344,665,671 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 398,607,909

LCM of Fractions 398/344,607/665,909/671 is 219601674

Given numbers has no common factors except 1. So, there LCM is their product i.e 219601674

Least Common Multiple of 398,607,909 with GCF Formula

Least Common Multiple of 398,607,909 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 398,607,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,607,909) = 1

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

GCF(398,607,909) x common factors =1 x 1 = 1

LCM(398,607,909) = ( 398 × 607 × 909 ) / 1

LCM(398,607,909) = 219601674 / 1

LCM(398,607,909) = 219601674


Lets's calculate GCF of 344,665,671

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 219601674/1

Therefore the LCM of Fractions 398/344,607/665,909/671 is 219601674

Greatest Common Factor of 344,665,671 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,665,671 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Greatest Common Factor

We found the factors 344,665,671 . The biggest common factor number is the GCF number.
So the greatest common factor 344,665,671 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 398/344, 607/665, 909/671

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 398/344, 607/665, 909/671?

Answer: LCM of Numerators as per given numbers 398/344, 607/665, 909/671 is

LCM of Numerators i.e. for 398,607,909 is 219601674

GCF of denominators i.e. for 344,665,671 is 1.

Thus, LCM of Fractions is 219601674.Finally, LCM of Fractions for 398/344, 607/665, 909/671 is 219601674.