Least Common Multiple of 649/585, 2170/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 649/585, 2170/627 quickly i.e. 1408330/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 649/585, 2170/627 is 1408330/3.

LCM(649/585, 2170/627) = 1408330/3

LCM of 649/585, 2170/627

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 649/585,2170/627

Given numbers are 649/585,2170/627

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 649,2170

Least Common Multiple of Numerators i.e. LCM of 649,2170 is 1408330.

GCF of Denominators means GCF of 585,627 as per the given fractions.

GCF of 585,627 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 649,2170

LCM of Fractions 649/585,2170/627 is 1408330/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 1408330

Least Common Multiple of 649,2170 with GCF Formula

Least Common Multiple of 649,2170 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 649,2170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,2170) = 1

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

GCF(649,2170) x common factors =1 x 1 = 1

LCM(649,2170) = ( 649 × 2170 ) / 1

LCM(649,2170) = 1408330 / 1

LCM(649,2170) = 1408330


Lets's calculate GCF of 585,627

3 585, 627
195, 209

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1408330/3

Therefore the LCM of Fractions 649/585,2170/627 is 1408330/3

Greatest Common Factor of 585,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,627 By Matching Biggest Common Factor Method

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 585,627 . The biggest common factor number is the GCF number.
So the greatest common factor 585,627 is 3.


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 649/585, 2170/627

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 649/585, 2170/627?

Answer: LCM of Numerators as per given numbers 649/585, 2170/627 is

LCM of Numerators i.e. for 649,2170 is 1408330

GCF of denominators i.e. for 585,627 is 3.

Thus, LCM of Fractions is 1408330/3.Finally, LCM of Fractions for 649/585, 2170/627 is 1408330/3.