Least Common Multiple of 1629/446, 4697/1469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1629/446, 4697/1469 quickly i.e. 7651413 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1629/446, 4697/1469 is 7651413.

LCM(1629/446, 4697/1469) = 7651413

LCM of 1629/446, 4697/1469

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 1629/446,4697/1469

Given numbers are 1629/446,4697/1469

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 1629,4697

Least Common Multiple of Numerators i.e. LCM of 1629,4697 is 7651413.

GCF of Denominators means GCF of 446,1469 as per the given fractions.

GCF of 446,1469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1629,4697

LCM of Fractions 1629/446,4697/1469 is 7651413

Given numbers has no common factors except 1. So, there LCM is their product i.e 7651413

Least Common Multiple of 1629,4697 with GCF Formula

Least Common Multiple of 1629,4697 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 1629,4697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1629,4697) = 1

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

GCF(1629,4697) x common factors =1 x 1 = 1

LCM(1629,4697) = ( 1629 × 4697 ) / 1

LCM(1629,4697) = 7651413 / 1

LCM(1629,4697) = 7651413


Lets's calculate GCF of 446,1469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7651413/1

Therefore the LCM of Fractions 1629/446,4697/1469 is 7651413

Greatest Common Factor of 446,1469 By Matching Biggest Common Factor Method

Greatest Common Factor of 446,1469 By Matching Biggest Common Factor Method

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 1469

List of positive integer factors of 1469 that divides 1469 without a remainder.

1,13,113,1469

Greatest Common Factor

We found the factors 446,1469 . The biggest common factor number is the GCF number.
So the greatest common factor 446,1469 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 1629/446, 4697/1469

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 1629/446, 4697/1469?

Answer: LCM of Numerators as per given numbers 1629/446, 4697/1469 is

LCM of Numerators i.e. for 1629,4697 is 7651413

GCF of denominators i.e. for 446,1469 is 1.

Thus, LCM of Fractions is 7651413.Finally, LCM of Fractions for 1629/446, 4697/1469 is 7651413.