Least Common Multiple of 6340/510, 3368/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6340/510, 3368/589 quickly i.e. 5338280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6340/510, 3368/589 is 5338280.

LCM(6340/510, 3368/589) = 5338280

LCM of 6340/510, 3368/589

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 6340/510,3368/589

Given numbers are 6340/510,3368/589

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 6340,3368

Least Common Multiple of Numerators i.e. LCM of 6340,3368 is 5338280.

GCF of Denominators means GCF of 510,589 as per the given fractions.

GCF of 510,589 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6340,3368

LCM of Fractions 6340/510,3368/589 is 5338280

2 6340, 3368
2 3170, 1684
1585, 842

∴ So the LCM of the given numbers is 2 x 2 x 1585 x 842 = 5338280

Least Common Multiple of 6340,3368 with GCF Formula

Least Common Multiple of 6340,3368 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 6340,3368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6340,3368) = 4

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

GCF(6340,3368) x common factors =4 x 1 = 4

LCM(6340,3368) = ( 6340 × 3368 ) / 4

LCM(6340,3368) = 21353120 / 4

LCM(6340,3368) = 5338280


Lets's calculate GCF of 510,589

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5338280/1

Therefore the LCM of Fractions 6340/510,3368/589 is 5338280

Greatest Common Factor of 510,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,589 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 510,589 . The biggest common factor number is the GCF number.
So the greatest common factor 510,589 is 1.


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 6340/510, 3368/589

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 6340/510, 3368/589?

Answer: LCM of Numerators as per given numbers 6340/510, 3368/589 is

LCM of Numerators i.e. for 6340,3368 is 5338280

GCF of denominators i.e. for 510,589 is 1.

Thus, LCM of Fractions is 5338280.Finally, LCM of Fractions for 6340/510, 3368/589 is 5338280.