Least Common Multiple of 6509/402, 5337/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6509/402, 5337/674 quickly i.e. 34738533/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6509/402, 5337/674 is 34738533/2.

LCM(6509/402, 5337/674) = 34738533/2

LCM of 6509/402, 5337/674

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 6509/402,5337/674

Given numbers are 6509/402,5337/674

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 6509,5337

Least Common Multiple of Numerators i.e. LCM of 6509,5337 is 34738533.

GCF of Denominators means GCF of 402,674 as per the given fractions.

GCF of 402,674 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6509,5337

LCM of Fractions 6509/402,5337/674 is 34738533/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 34738533

Least Common Multiple of 6509,5337 with GCF Formula

Least Common Multiple of 6509,5337 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 6509,5337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6509,5337) = 1

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

GCF(6509,5337) x common factors =1 x 1 = 1

LCM(6509,5337) = ( 6509 × 5337 ) / 1

LCM(6509,5337) = 34738533 / 1

LCM(6509,5337) = 34738533


Lets's calculate GCF of 402,674

2 402, 674
201, 337

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34738533/2

Therefore the LCM of Fractions 6509/402,5337/674 is 34738533/2

Greatest Common Factor of 402,674 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,674 By Matching Biggest Common Factor Method

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Greatest Common Factor

We found the factors 402,674 . The biggest common factor number is the GCF number.
So the greatest common factor 402,674 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 6509/402, 5337/674

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 6509/402, 5337/674?

Answer: LCM of Numerators as per given numbers 6509/402, 5337/674 is

LCM of Numerators i.e. for 6509,5337 is 34738533

GCF of denominators i.e. for 402,674 is 2.

Thus, LCM of Fractions is 34738533/2.Finally, LCM of Fractions for 6509/402, 5337/674 is 34738533/2.