Least Common Multiple of 3170/390, 4122/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3170/390, 4122/618 quickly i.e. 1088895 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3170/390, 4122/618 is 1088895.

LCM(3170/390, 4122/618) = 1088895

LCM of 3170/390, 4122/618

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 3170/390,4122/618

Given numbers are 3170/390,4122/618

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 3170,4122

Least Common Multiple of Numerators i.e. LCM of 3170,4122 is 6533370.

GCF of Denominators means GCF of 390,618 as per the given fractions.

GCF of 390,618 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3170,4122

LCM of Fractions 3170/390,4122/618 is 1088895

2 3170, 4122
1585, 2061

∴ So the LCM of the given numbers is 2 x 1585 x 2061 = 6533370

Least Common Multiple of 3170,4122 with GCF Formula

Least Common Multiple of 3170,4122 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 3170,4122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3170,4122) = 2

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

GCF(3170,4122) x common factors =2 x 1 = 2

LCM(3170,4122) = ( 3170 × 4122 ) / 2

LCM(3170,4122) = 13066740 / 2

LCM(3170,4122) = 6533370


Lets's calculate GCF of 390,618

2 390, 618
3 195, 309
65, 103

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6533370/6

Therefore the LCM of Fractions 3170/390,4122/618 is 1088895

Greatest Common Factor of 390,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,618 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 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 390,618 . The biggest common factor number is the GCF number.
So the greatest common factor 390,618 is 6.


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 3170/390, 4122/618

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 3170/390, 4122/618?

Answer: LCM of Numerators as per given numbers 3170/390, 4122/618 is

LCM of Numerators i.e. for 3170,4122 is 6533370

GCF of denominators i.e. for 390,618 is 6.

Thus, LCM of Fractions is 1088895.Finally, LCM of Fractions for 3170/390, 4122/618 is 1088895.