Least Common Multiple of 2418/390, 2614/3622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2418/390, 2614/3622 quickly i.e. 1580163 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2418/390, 2614/3622 is 1580163.

LCM(2418/390, 2614/3622) = 1580163

LCM of 2418/390, 2614/3622

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 2418/390,2614/3622

Given numbers are 2418/390,2614/3622

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 2418,2614

Least Common Multiple of Numerators i.e. LCM of 2418,2614 is 3160326.

GCF of Denominators means GCF of 390,3622 as per the given fractions.

GCF of 390,3622 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2418,2614

LCM of Fractions 2418/390,2614/3622 is 1580163

2 2418, 2614
1209, 1307

∴ So the LCM of the given numbers is 2 x 1209 x 1307 = 3160326

Least Common Multiple of 2418,2614 with GCF Formula

Least Common Multiple of 2418,2614 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 2418,2614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2418,2614) = 2

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

GCF(2418,2614) x common factors =2 x 1 = 2

LCM(2418,2614) = ( 2418 × 2614 ) / 2

LCM(2418,2614) = 6320652 / 2

LCM(2418,2614) = 3160326


Lets's calculate GCF of 390,3622

2 390, 3622
195, 1811

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3160326/2

Therefore the LCM of Fractions 2418/390,2614/3622 is 1580163

Greatest Common Factor of 390,3622 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,3622 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 3622

List of positive integer factors of 3622 that divides 3622 without a remainder.

1,2,1811,3622

Greatest Common Factor

We found the factors 390,3622 . The biggest common factor number is the GCF number.
So the greatest common factor 390,3622 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 2418/390, 2614/3622

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 2418/390, 2614/3622?

Answer: LCM of Numerators as per given numbers 2418/390, 2614/3622 is

LCM of Numerators i.e. for 2418,2614 is 3160326

GCF of denominators i.e. for 390,3622 is 2.

Thus, LCM of Fractions is 1580163.Finally, LCM of Fractions for 2418/390, 2614/3622 is 1580163.