Least Common Multiple of 344/670, 1394/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 344/670, 1394/981 quickly i.e. 239768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 344/670, 1394/981 is 239768.

LCM(344/670, 1394/981) = 239768

LCM of 344/670, 1394/981

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 344/670,1394/981

Given numbers are 344/670,1394/981

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 344,1394

Least Common Multiple of Numerators i.e. LCM of 344,1394 is 239768.

GCF of Denominators means GCF of 670,981 as per the given fractions.

GCF of 670,981 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 344,1394

LCM of Fractions 344/670,1394/981 is 239768

2 344, 1394
172, 697

∴ So the LCM of the given numbers is 2 x 172 x 697 = 239768

Least Common Multiple of 344,1394 with GCF Formula

Least Common Multiple of 344,1394 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 344,1394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,1394) = 2

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

GCF(344,1394) x common factors =2 x 1 = 2

LCM(344,1394) = ( 344 × 1394 ) / 2

LCM(344,1394) = 479536 / 2

LCM(344,1394) = 239768


Lets's calculate GCF of 670,981

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 239768/1

Therefore the LCM of Fractions 344/670,1394/981 is 239768

Greatest Common Factor of 670,981 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,981 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Greatest Common Factor

We found the factors 670,981 . The biggest common factor number is the GCF number.
So the greatest common factor 670,981 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 344/670, 1394/981

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 344/670, 1394/981?

Answer: LCM of Numerators as per given numbers 344/670, 1394/981 is

LCM of Numerators i.e. for 344,1394 is 239768

GCF of denominators i.e. for 670,981 is 1.

Thus, LCM of Fractions is 239768.Finally, LCM of Fractions for 344/670, 1394/981 is 239768.