Least Common Multiple of 75/686, 9011/8000

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 75/686, 9011/8000 quickly i.e. 675825/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/686, 9011/8000 is 675825/2.

LCM(75/686, 9011/8000) = 675825/2

LCM of 75/686, 9011/8000

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 75/686,9011/8000

Given numbers are 75/686,9011/8000

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 75,9011

Least Common Multiple of Numerators i.e. LCM of 75,9011 is 675825.

GCF of Denominators means GCF of 686,8000 as per the given fractions.

GCF of 686,8000 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,9011

LCM of Fractions 75/686,9011/8000 is 675825/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 675825

Least Common Multiple of 75,9011 with GCF Formula

Least Common Multiple of 75,9011 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 75,9011 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,9011) = 1

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

GCF(75,9011) x common factors =1 x 1 = 1

LCM(75,9011) = ( 75 × 9011 ) / 1

LCM(75,9011) = 675825 / 1

LCM(75,9011) = 675825


Lets's calculate GCF of 686,8000

2 686, 8000
343, 4000

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 675825/2

Therefore the LCM of Fractions 75/686,9011/8000 is 675825/2

Greatest Common Factor of 686,8000 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,8000 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 8000

List of positive integer factors of 8000 that divides 8000 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,125,160,200,250,320,400,500,800,1000,1600,2000,4000,8000

Greatest Common Factor

We found the factors 686,8000 . The biggest common factor number is the GCF number.
So the greatest common factor 686,8000 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 75/686, 9011/8000

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 75/686, 9011/8000?

Answer: LCM of Numerators as per given numbers 75/686, 9011/8000 is

LCM of Numerators i.e. for 75,9011 is 675825

GCF of denominators i.e. for 686,8000 is 2.

Thus, LCM of Fractions is 675825/2.Finally, LCM of Fractions for 75/686, 9011/8000 is 675825/2.