Least Common Multiple of 8394/360, 1740/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8394/360, 1740/998 quickly i.e. 1217130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8394/360, 1740/998 is 1217130.

LCM(8394/360, 1740/998) = 1217130

LCM of 8394/360, 1740/998

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 8394/360,1740/998

Given numbers are 8394/360,1740/998

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 8394,1740

Least Common Multiple of Numerators i.e. LCM of 8394,1740 is 2434260.

GCF of Denominators means GCF of 360,998 as per the given fractions.

GCF of 360,998 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8394,1740

LCM of Fractions 8394/360,1740/998 is 1217130

2 8394, 1740
3 4197, 870
1399, 290

∴ So the LCM of the given numbers is 2 x 3 x 1399 x 290 = 2434260

Least Common Multiple of 8394,1740 with GCF Formula

Least Common Multiple of 8394,1740 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 8394,1740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8394,1740) = 6

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

GCF(8394,1740) x common factors =6 x 1 = 6

LCM(8394,1740) = ( 8394 × 1740 ) / 6

LCM(8394,1740) = 14605560 / 6

LCM(8394,1740) = 2434260


Lets's calculate GCF of 360,998

2 360, 998
180, 499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2434260/2

Therefore the LCM of Fractions 8394/360,1740/998 is 1217130

Greatest Common Factor of 360,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,998 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

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 360,998 . The biggest common factor number is the GCF number.
So the greatest common factor 360,998 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 8394/360, 1740/998

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 8394/360, 1740/998?

Answer: LCM of Numerators as per given numbers 8394/360, 1740/998 is

LCM of Numerators i.e. for 8394,1740 is 2434260

GCF of denominators i.e. for 360,998 is 2.

Thus, LCM of Fractions is 1217130.Finally, LCM of Fractions for 8394/360, 1740/998 is 1217130.