Least Common Multiple of 6185/721, 5426/3014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6185/721, 5426/3014 quickly i.e. 33559810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6185/721, 5426/3014 is 33559810.

LCM(6185/721, 5426/3014) = 33559810

LCM of 6185/721, 5426/3014

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 6185/721,5426/3014

Given numbers are 6185/721,5426/3014

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 6185,5426

Least Common Multiple of Numerators i.e. LCM of 6185,5426 is 33559810.

GCF of Denominators means GCF of 721,3014 as per the given fractions.

GCF of 721,3014 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6185,5426

LCM of Fractions 6185/721,5426/3014 is 33559810

Given numbers has no common factors except 1. So, there LCM is their product i.e 33559810

Least Common Multiple of 6185,5426 with GCF Formula

Least Common Multiple of 6185,5426 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 6185,5426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6185,5426) = 1

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

GCF(6185,5426) x common factors =1 x 1 = 1

LCM(6185,5426) = ( 6185 × 5426 ) / 1

LCM(6185,5426) = 33559810 / 1

LCM(6185,5426) = 33559810


Lets's calculate GCF of 721,3014

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33559810/1

Therefore the LCM of Fractions 6185/721,5426/3014 is 33559810

Greatest Common Factor of 721,3014 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,3014 By Matching Biggest Common Factor Method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 3014

List of positive integer factors of 3014 that divides 3014 without a remainder.

1,2,11,22,137,274,1507,3014

Greatest Common Factor

We found the factors 721,3014 . The biggest common factor number is the GCF number.
So the greatest common factor 721,3014 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6185/721, 5426/3014

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 6185/721, 5426/3014?

Answer: LCM of Numerators as per given numbers 6185/721, 5426/3014 is

LCM of Numerators i.e. for 6185,5426 is 33559810

GCF of denominators i.e. for 721,3014 is 1.

Thus, LCM of Fractions is 33559810.Finally, LCM of Fractions for 6185/721, 5426/3014 is 33559810.