Least Common Multiple of 1209/982, 4341/6770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1209/982, 4341/6770 quickly i.e. 1749423/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1209/982, 4341/6770 is 1749423/2.

LCM(1209/982, 4341/6770) = 1749423/2

LCM of 1209/982, 4341/6770

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 1209/982,4341/6770

Given numbers are 1209/982,4341/6770

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 1209,4341

Least Common Multiple of Numerators i.e. LCM of 1209,4341 is 1749423.

GCF of Denominators means GCF of 982,6770 as per the given fractions.

GCF of 982,6770 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1209,4341

LCM of Fractions 1209/982,4341/6770 is 1749423/2

3 1209, 4341
403, 1447

∴ So the LCM of the given numbers is 3 x 403 x 1447 = 1749423

Least Common Multiple of 1209,4341 with GCF Formula

Least Common Multiple of 1209,4341 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 1209,4341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1209,4341) = 3

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

GCF(1209,4341) x common factors =3 x 1 = 3

LCM(1209,4341) = ( 1209 × 4341 ) / 3

LCM(1209,4341) = 5248269 / 3

LCM(1209,4341) = 1749423


Lets's calculate GCF of 982,6770

2 982, 6770
491, 3385

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1749423/2

Therefore the LCM of Fractions 1209/982,4341/6770 is 1749423/2

Greatest Common Factor of 982,6770 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,6770 By Matching Biggest Common Factor Method

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 6770

List of positive integer factors of 6770 that divides 6770 without a remainder.

1,2,5,10,677,1354,3385,6770

Greatest Common Factor

We found the factors 982,6770 . The biggest common factor number is the GCF number.
So the greatest common factor 982,6770 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 1209/982, 4341/6770

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 1209/982, 4341/6770?

Answer: LCM of Numerators as per given numbers 1209/982, 4341/6770 is

LCM of Numerators i.e. for 1209,4341 is 1749423

GCF of denominators i.e. for 982,6770 is 2.

Thus, LCM of Fractions is 1749423/2.Finally, LCM of Fractions for 1209/982, 4341/6770 is 1749423/2.