Least Common Multiple of 629/90, 461/7398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 629/90, 461/7398 quickly i.e. 289969/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 629/90, 461/7398 is 289969/18.

LCM(629/90, 461/7398) = 289969/18

LCM of 629/90, 461/7398

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 629/90,461/7398

Given numbers are 629/90,461/7398

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 629,461

Least Common Multiple of Numerators i.e. LCM of 629,461 is 289969.

GCF of Denominators means GCF of 90,7398 as per the given fractions.

GCF of 90,7398 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 629,461

LCM of Fractions 629/90,461/7398 is 289969/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 289969

Least Common Multiple of 629,461 with GCF Formula

Least Common Multiple of 629,461 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 629,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(629,461) = 1

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

GCF(629,461) x common factors =1 x 1 = 1

LCM(629,461) = ( 629 × 461 ) / 1

LCM(629,461) = 289969 / 1

LCM(629,461) = 289969


Lets's calculate GCF of 90,7398

2 90, 7398
3 45, 3699
3 15, 1233
5, 411

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 289969/18

Therefore the LCM of Fractions 629/90,461/7398 is 289969/18

Greatest Common Factor of 90,7398 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,7398 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 7398

List of positive integer factors of 7398 that divides 7398 without a remainder.

1,2,3,6,9,18,27,54,137,274,411,822,1233,2466,3699,7398

Greatest Common Factor

We found the factors 90,7398 . The biggest common factor number is the GCF number.
So the greatest common factor 90,7398 is 18.


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 629/90, 461/7398

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 629/90, 461/7398?

Answer: LCM of Numerators as per given numbers 629/90, 461/7398 is

LCM of Numerators i.e. for 629,461 is 289969

GCF of denominators i.e. for 90,7398 is 18.

Thus, LCM of Fractions is 289969/18.Finally, LCM of Fractions for 629/90, 461/7398 is 289969/18.