Least Common Multiple of 864/685, 577/440, 625/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 864/685, 577/440, 625/836 quickly i.e. 311580000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 864/685, 577/440, 625/836 is 311580000.

LCM(864/685, 577/440, 625/836) = 311580000

LCM of 864/685, 577/440, 625/836

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 864/685,577/440,625/836

Given numbers are 864/685,577/440,625/836

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 864,577,625

Least Common Multiple of Numerators i.e. LCM of 864,577,625 is 311580000.

GCF of Denominators means GCF of 685,440,836 as per the given fractions.

GCF of 685,440,836 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 864,577,625

LCM of Fractions 864/685,577/440,625/836 is 311580000

Given numbers has no common factors except 1. So, there LCM is their product i.e 311580000

Least Common Multiple of 864,577,625 with GCF Formula

Least Common Multiple of 864,577,625 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 864,577,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,577,625) = 1

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

GCF(864,577,625) x common factors =1 x 1 = 1

LCM(864,577,625) = ( 864 × 577 × 625 ) / 1

LCM(864,577,625) = 311580000 / 1

LCM(864,577,625) = 311580000


Lets's calculate GCF of 685,440,836

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 311580000/1

Therefore the LCM of Fractions 864/685,577/440,625/836 is 311580000

Greatest Common Factor of 685,440,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 685,440,836 By Matching Biggest Common Factor Method

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 685,440,836 . The biggest common factor number is the GCF number.
So the greatest common factor 685,440,836 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 864/685, 577/440, 625/836

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 864/685, 577/440, 625/836?

Answer: LCM of Numerators as per given numbers 864/685, 577/440, 625/836 is

LCM of Numerators i.e. for 864,577,625 is 311580000

GCF of denominators i.e. for 685,440,836 is 1.

Thus, LCM of Fractions is 311580000.Finally, LCM of Fractions for 864/685, 577/440, 625/836 is 311580000.