Least Common Multiple of 8658/670, 7131/5280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8658/670, 7131/5280 quickly i.e. 20580066/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8658/670, 7131/5280 is 20580066/10.

LCM(8658/670, 7131/5280) = 20580066/10

LCM of 8658/670, 7131/5280

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 8658/670,7131/5280

Given numbers are 8658/670,7131/5280

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 8658,7131

Least Common Multiple of Numerators i.e. LCM of 8658,7131 is 20580066.

GCF of Denominators means GCF of 670,5280 as per the given fractions.

GCF of 670,5280 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8658,7131

LCM of Fractions 8658/670,7131/5280 is 20580066/10

3 8658, 7131
2886, 2377

∴ So the LCM of the given numbers is 3 x 2886 x 2377 = 20580066

Least Common Multiple of 8658,7131 with GCF Formula

Least Common Multiple of 8658,7131 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 8658,7131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8658,7131) = 3

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

GCF(8658,7131) x common factors =3 x 1 = 3

LCM(8658,7131) = ( 8658 × 7131 ) / 3

LCM(8658,7131) = 61740198 / 3

LCM(8658,7131) = 20580066


Lets's calculate GCF of 670,5280

2 670, 5280
5 335, 2640
67, 528

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20580066/10

Therefore the LCM of Fractions 8658/670,7131/5280 is 20580066/10

Greatest Common Factor of 670,5280 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,5280 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 5280

List of positive integer factors of 5280 that divides 5280 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,32,33,40,44,48,55,60,66,80,88,96,110,120,132,160,165,176,220,240,264,330,352,440,480,528,660,880,1056,1320,1760,2640,5280

Greatest Common Factor

We found the factors 670,5280 . The biggest common factor number is the GCF number.
So the greatest common factor 670,5280 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 8658/670, 7131/5280

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 8658/670, 7131/5280?

Answer: LCM of Numerators as per given numbers 8658/670, 7131/5280 is

LCM of Numerators i.e. for 8658,7131 is 20580066

GCF of denominators i.e. for 670,5280 is 10.

Thus, LCM of Fractions is 20580066/10.Finally, LCM of Fractions for 8658/670, 7131/5280 is 20580066/10.