Least Common Multiple of 687/849, 7905/885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 687/849, 7905/885 quickly i.e. 603415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 687/849, 7905/885 is 603415.

LCM(687/849, 7905/885) = 603415

LCM of 687/849, 7905/885

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 687/849,7905/885

Given numbers are 687/849,7905/885

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 687,7905

Least Common Multiple of Numerators i.e. LCM of 687,7905 is 1810245.

GCF of Denominators means GCF of 849,885 as per the given fractions.

GCF of 849,885 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 687,7905

LCM of Fractions 687/849,7905/885 is 603415

3 687, 7905
229, 2635

∴ So the LCM of the given numbers is 3 x 229 x 2635 = 1810245

Least Common Multiple of 687,7905 with GCF Formula

Least Common Multiple of 687,7905 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 687,7905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,7905) = 3

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

GCF(687,7905) x common factors =3 x 1 = 3

LCM(687,7905) = ( 687 × 7905 ) / 3

LCM(687,7905) = 5430735 / 3

LCM(687,7905) = 1810245


Lets's calculate GCF of 849,885

3 849, 885
283, 295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1810245/3

Therefore the LCM of Fractions 687/849,7905/885 is 603415

Greatest Common Factor of 849,885 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,885 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 849,885 . The biggest common factor number is the GCF number.
So the greatest common factor 849,885 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 687/849, 7905/885

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 687/849, 7905/885?

Answer: LCM of Numerators as per given numbers 687/849, 7905/885 is

LCM of Numerators i.e. for 687,7905 is 1810245

GCF of denominators i.e. for 849,885 is 3.

Thus, LCM of Fractions is 603415.Finally, LCM of Fractions for 687/849, 7905/885 is 603415.