Least Common Multiple of 1445/990, 8429/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1445/990, 8429/418 quickly i.e. 12179905/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1445/990, 8429/418 is 12179905/22.

LCM(1445/990, 8429/418) = 12179905/22

LCM of 1445/990, 8429/418

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 1445/990,8429/418

Given numbers are 1445/990,8429/418

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 1445,8429

Least Common Multiple of Numerators i.e. LCM of 1445,8429 is 12179905.

GCF of Denominators means GCF of 990,418 as per the given fractions.

GCF of 990,418 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1445,8429

LCM of Fractions 1445/990,8429/418 is 12179905/22

Given numbers has no common factors except 1. So, there LCM is their product i.e 12179905

Least Common Multiple of 1445,8429 with GCF Formula

Least Common Multiple of 1445,8429 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 1445,8429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1445,8429) = 1

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

GCF(1445,8429) x common factors =1 x 1 = 1

LCM(1445,8429) = ( 1445 × 8429 ) / 1

LCM(1445,8429) = 12179905 / 1

LCM(1445,8429) = 12179905


Lets's calculate GCF of 990,418

2 990, 418
11 495, 209
45, 19

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12179905/22

Therefore the LCM of Fractions 1445/990,8429/418 is 12179905/22

Greatest Common Factor of 990,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,418 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 990,418 . The biggest common factor number is the GCF number.
So the greatest common factor 990,418 is 22.


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 1445/990, 8429/418

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 1445/990, 8429/418?

Answer: LCM of Numerators as per given numbers 1445/990, 8429/418 is

LCM of Numerators i.e. for 1445,8429 is 12179905

GCF of denominators i.e. for 990,418 is 22.

Thus, LCM of Fractions is 12179905/22.Finally, LCM of Fractions for 1445/990, 8429/418 is 12179905/22.