Least Common Multiple of 6749/604, 2275/4710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6749/604, 2275/4710 quickly i.e. 15353975/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6749/604, 2275/4710 is 15353975/2.

LCM(6749/604, 2275/4710) = 15353975/2

LCM of 6749/604, 2275/4710

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 6749/604,2275/4710

Given numbers are 6749/604,2275/4710

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 6749,2275

Least Common Multiple of Numerators i.e. LCM of 6749,2275 is 15353975.

GCF of Denominators means GCF of 604,4710 as per the given fractions.

GCF of 604,4710 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6749,2275

LCM of Fractions 6749/604,2275/4710 is 15353975/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 15353975

Least Common Multiple of 6749,2275 with GCF Formula

Least Common Multiple of 6749,2275 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 6749,2275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6749,2275) = 1

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

GCF(6749,2275) x common factors =1 x 1 = 1

LCM(6749,2275) = ( 6749 × 2275 ) / 1

LCM(6749,2275) = 15353975 / 1

LCM(6749,2275) = 15353975


Lets's calculate GCF of 604,4710

2 604, 4710
302, 2355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15353975/2

Therefore the LCM of Fractions 6749/604,2275/4710 is 15353975/2

Greatest Common Factor of 604,4710 By Matching Biggest Common Factor Method

Greatest Common Factor of 604,4710 By Matching Biggest Common Factor Method

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 4710

List of positive integer factors of 4710 that divides 4710 without a remainder.

1,2,3,5,6,10,15,30,157,314,471,785,942,1570,2355,4710

Greatest Common Factor

We found the factors 604,4710 . The biggest common factor number is the GCF number.
So the greatest common factor 604,4710 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 6749/604, 2275/4710

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 6749/604, 2275/4710?

Answer: LCM of Numerators as per given numbers 6749/604, 2275/4710 is

LCM of Numerators i.e. for 6749,2275 is 15353975

GCF of denominators i.e. for 604,4710 is 2.

Thus, LCM of Fractions is 15353975/2.Finally, LCM of Fractions for 6749/604, 2275/4710 is 15353975/2.