Least Common Multiple of 5168/390, 6045/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5168/390, 6045/305 quickly i.e. 6248112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5168/390, 6045/305 is 6248112.

LCM(5168/390, 6045/305) = 6248112

LCM of 5168/390, 6045/305

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 5168/390,6045/305

Given numbers are 5168/390,6045/305

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 5168,6045

Least Common Multiple of Numerators i.e. LCM of 5168,6045 is 31240560.

GCF of Denominators means GCF of 390,305 as per the given fractions.

GCF of 390,305 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5168,6045

LCM of Fractions 5168/390,6045/305 is 6248112

Given numbers has no common factors except 1. So, there LCM is their product i.e 31240560

Least Common Multiple of 5168,6045 with GCF Formula

Least Common Multiple of 5168,6045 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 5168,6045 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5168,6045) = 1

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

GCF(5168,6045) x common factors =1 x 1 = 1

LCM(5168,6045) = ( 5168 × 6045 ) / 1

LCM(5168,6045) = 31240560 / 1

LCM(5168,6045) = 31240560


Lets's calculate GCF of 390,305

5 390, 305
78, 61

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31240560/5

Therefore the LCM of Fractions 5168/390,6045/305 is 6248112

Greatest Common Factor of 390,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,305 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 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 390,305 . The biggest common factor number is the GCF number.
So the greatest common factor 390,305 is 5.


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 5168/390, 6045/305

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 5168/390, 6045/305?

Answer: LCM of Numerators as per given numbers 5168/390, 6045/305 is

LCM of Numerators i.e. for 5168,6045 is 31240560

GCF of denominators i.e. for 390,305 is 5.

Thus, LCM of Fractions is 6248112.Finally, LCM of Fractions for 5168/390, 6045/305 is 6248112.