Least Common Multiple of 609/670, 626/207, 810/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 609/670, 626/207, 810/720 quickly i.e. 51466590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 609/670, 626/207, 810/720 is 51466590.

LCM(609/670, 626/207, 810/720) = 51466590

LCM of 609/670, 626/207, 810/720

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 609/670,626/207,810/720

Given numbers are 609/670,626/207,810/720

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 609,626,810

Least Common Multiple of Numerators i.e. LCM of 609,626,810 is 51466590.

GCF of Denominators means GCF of 670,207,720 as per the given fractions.

GCF of 670,207,720 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 609,626,810

LCM of Fractions 609/670,626/207,810/720 is 51466590

2 609, 626, 810
3 609, 313, 405
203, 313, 135

∴ So the LCM of the given numbers is 2 x 3 x 203 x 313 x 135 = 51466590

Least Common Multiple of 609,626,810 with GCF Formula

Least Common Multiple of 609,626,810 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 609,626,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(609,626,810) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(609,626,810) x common factors =1 x 6 = 6

LCM(609,626,810) = ( 609 × 626 × 810 ) / 6

LCM(609,626,810) = 308799540 / 6

LCM(609,626,810) = 51466590


Lets's calculate GCF of 670,207,720

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51466590/1

Therefore the LCM of Fractions 609/670,626/207,810/720 is 51466590

Greatest Common Factor of 670,207,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,207,720 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 670,207,720 . The biggest common factor number is the GCF number.
So the greatest common factor 670,207,720 is 1.


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 609/670, 626/207, 810/720

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 609/670, 626/207, 810/720?

Answer: LCM of Numerators as per given numbers 609/670, 626/207, 810/720 is

LCM of Numerators i.e. for 609,626,810 is 51466590

GCF of denominators i.e. for 670,207,720 is 1.

Thus, LCM of Fractions is 51466590.Finally, LCM of Fractions for 609/670, 626/207, 810/720 is 51466590.