Least Common Multiple of 7412/30, 3586/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7412/30, 3586/118 quickly i.e. 6644858 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7412/30, 3586/118 is 6644858.

LCM(7412/30, 3586/118) = 6644858

LCM of 7412/30, 3586/118

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 7412/30,3586/118

Given numbers are 7412/30,3586/118

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 7412,3586

Least Common Multiple of Numerators i.e. LCM of 7412,3586 is 13289716.

GCF of Denominators means GCF of 30,118 as per the given fractions.

GCF of 30,118 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7412,3586

LCM of Fractions 7412/30,3586/118 is 6644858

2 7412, 3586
3706, 1793

∴ So the LCM of the given numbers is 2 x 3706 x 1793 = 13289716

Least Common Multiple of 7412,3586 with GCF Formula

Least Common Multiple of 7412,3586 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 7412,3586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7412,3586) = 2

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

GCF(7412,3586) x common factors =2 x 1 = 2

LCM(7412,3586) = ( 7412 × 3586 ) / 2

LCM(7412,3586) = 26579432 / 2

LCM(7412,3586) = 13289716


Lets's calculate GCF of 30,118

2 30, 118
15, 59

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13289716/2

Therefore the LCM of Fractions 7412/30,3586/118 is 6644858

Greatest Common Factor of 30,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,118 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors 30,118 . The biggest common factor number is the GCF number.
So the greatest common factor 30,118 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 7412/30, 3586/118

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 7412/30, 3586/118?

Answer: LCM of Numerators as per given numbers 7412/30, 3586/118 is

LCM of Numerators i.e. for 7412,3586 is 13289716

GCF of denominators i.e. for 30,118 is 2.

Thus, LCM of Fractions is 6644858.Finally, LCM of Fractions for 7412/30, 3586/118 is 6644858.