Least Common Multiple of 405/602, 6638/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 405/602, 6638/989 quickly i.e. 2688390/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 405/602, 6638/989 is 2688390/43.

LCM(405/602, 6638/989) = 2688390/43

LCM of 405/602, 6638/989

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 405/602,6638/989

Given numbers are 405/602,6638/989

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 405,6638

Least Common Multiple of Numerators i.e. LCM of 405,6638 is 2688390.

GCF of Denominators means GCF of 602,989 as per the given fractions.

GCF of 602,989 is 43 as it is the largest common factor for these numbers.

Lets's calculate LCM of 405,6638

LCM of Fractions 405/602,6638/989 is 2688390/43

Given numbers has no common factors except 1. So, there LCM is their product i.e 2688390

Least Common Multiple of 405,6638 with GCF Formula

Least Common Multiple of 405,6638 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 405,6638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,6638) = 1

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

GCF(405,6638) x common factors =1 x 1 = 1

LCM(405,6638) = ( 405 × 6638 ) / 1

LCM(405,6638) = 2688390 / 1

LCM(405,6638) = 2688390


Lets's calculate GCF of 602,989

43 602, 989
14, 23

∴ So the GCF of the given numbers is 43 = 43

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2688390/43

Therefore the LCM of Fractions 405/602,6638/989 is 2688390/43

Greatest Common Factor of 602,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,989 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 602,989 . The biggest common factor number is the GCF number.
So the greatest common factor 602,989 is 43.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 405/602, 6638/989

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 405/602, 6638/989?

Answer: LCM of Numerators as per given numbers 405/602, 6638/989 is

LCM of Numerators i.e. for 405,6638 is 2688390

GCF of denominators i.e. for 602,989 is 43.

Thus, LCM of Fractions is 2688390/43.Finally, LCM of Fractions for 405/602, 6638/989 is 2688390/43.