Least Common Multiple of 29/590, 3486/7662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/590, 3486/7662 quickly i.e. 50547 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/590, 3486/7662 is 50547.

LCM(29/590, 3486/7662) = 50547

LCM of 29/590, 3486/7662

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 29/590,3486/7662

Given numbers are 29/590,3486/7662

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 29,3486

Least Common Multiple of Numerators i.e. LCM of 29,3486 is 101094.

GCF of Denominators means GCF of 590,7662 as per the given fractions.

GCF of 590,7662 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,3486

LCM of Fractions 29/590,3486/7662 is 50547

Given numbers has no common factors except 1. So, there LCM is their product i.e 101094

Least Common Multiple of 29,3486 with GCF Formula

Least Common Multiple of 29,3486 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 29,3486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,3486) = 1

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

GCF(29,3486) x common factors =1 x 1 = 1

LCM(29,3486) = ( 29 × 3486 ) / 1

LCM(29,3486) = 101094 / 1

LCM(29,3486) = 101094


Lets's calculate GCF of 590,7662

2 590, 7662
295, 3831

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101094/2

Therefore the LCM of Fractions 29/590,3486/7662 is 50547

Greatest Common Factor of 590,7662 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,7662 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 7662

List of positive integer factors of 7662 that divides 7662 without a remainder.

1,2,3,6,1277,2554,3831,7662

Greatest Common Factor

We found the factors 590,7662 . The biggest common factor number is the GCF number.
So the greatest common factor 590,7662 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 29/590, 3486/7662

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 29/590, 3486/7662?

Answer: LCM of Numerators as per given numbers 29/590, 3486/7662 is

LCM of Numerators i.e. for 29,3486 is 101094

GCF of denominators i.e. for 590,7662 is 2.

Thus, LCM of Fractions is 50547.Finally, LCM of Fractions for 29/590, 3486/7662 is 50547.