Least Common Multiple of 3417/667, 1229/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3417/667, 1229/998 quickly i.e. 4199493 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3417/667, 1229/998 is 4199493.

LCM(3417/667, 1229/998) = 4199493

LCM of 3417/667, 1229/998

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 3417/667,1229/998

Given numbers are 3417/667,1229/998

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 3417,1229

Least Common Multiple of Numerators i.e. LCM of 3417,1229 is 4199493.

GCF of Denominators means GCF of 667,998 as per the given fractions.

GCF of 667,998 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3417,1229

LCM of Fractions 3417/667,1229/998 is 4199493

Given numbers has no common factors except 1. So, there LCM is their product i.e 4199493

Least Common Multiple of 3417,1229 with GCF Formula

Least Common Multiple of 3417,1229 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 3417,1229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3417,1229) = 1

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

GCF(3417,1229) x common factors =1 x 1 = 1

LCM(3417,1229) = ( 3417 × 1229 ) / 1

LCM(3417,1229) = 4199493 / 1

LCM(3417,1229) = 4199493


Lets's calculate GCF of 667,998

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4199493/1

Therefore the LCM of Fractions 3417/667,1229/998 is 4199493

Greatest Common Factor of 667,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 667,998 By Matching Biggest Common Factor Method

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 667,998 . The biggest common factor number is the GCF number.
So the greatest common factor 667,998 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 3417/667, 1229/998

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 3417/667, 1229/998?

Answer: LCM of Numerators as per given numbers 3417/667, 1229/998 is

LCM of Numerators i.e. for 3417,1229 is 4199493

GCF of denominators i.e. for 667,998 is 1.

Thus, LCM of Fractions is 4199493.Finally, LCM of Fractions for 3417/667, 1229/998 is 4199493.