Least Common Multiple of 6605/710, 5734/2970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6605/710, 5734/2970 quickly i.e. 3787307 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6605/710, 5734/2970 is 3787307.

LCM(6605/710, 5734/2970) = 3787307

LCM of 6605/710, 5734/2970

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 6605/710,5734/2970

Given numbers are 6605/710,5734/2970

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 6605,5734

Least Common Multiple of Numerators i.e. LCM of 6605,5734 is 37873070.

GCF of Denominators means GCF of 710,2970 as per the given fractions.

GCF of 710,2970 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6605,5734

LCM of Fractions 6605/710,5734/2970 is 3787307

Given numbers has no common factors except 1. So, there LCM is their product i.e 37873070

Least Common Multiple of 6605,5734 with GCF Formula

Least Common Multiple of 6605,5734 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 6605,5734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6605,5734) = 1

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

GCF(6605,5734) x common factors =1 x 1 = 1

LCM(6605,5734) = ( 6605 × 5734 ) / 1

LCM(6605,5734) = 37873070 / 1

LCM(6605,5734) = 37873070


Lets's calculate GCF of 710,2970

2 710, 2970
5 355, 1485
71, 297

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37873070/10

Therefore the LCM of Fractions 6605/710,5734/2970 is 3787307

Greatest Common Factor of 710,2970 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,2970 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 2970

List of positive integer factors of 2970 that divides 2970 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,90,99,110,135,165,198,270,297,330,495,594,990,1485,2970

Greatest Common Factor

We found the factors 710,2970 . The biggest common factor number is the GCF number.
So the greatest common factor 710,2970 is 10.


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 6605/710, 5734/2970

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 6605/710, 5734/2970?

Answer: LCM of Numerators as per given numbers 6605/710, 5734/2970 is

LCM of Numerators i.e. for 6605,5734 is 37873070

GCF of denominators i.e. for 710,2970 is 10.

Thus, LCM of Fractions is 3787307.Finally, LCM of Fractions for 6605/710, 5734/2970 is 3787307.