Least Common Multiple of 849/659, 855/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 849/659, 855/695 quickly i.e. 241965 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 849/659, 855/695 is 241965.

LCM(849/659, 855/695) = 241965

LCM of 849/659, 855/695

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 849/659,855/695

Given numbers are 849/659,855/695

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 849,855

Least Common Multiple of Numerators i.e. LCM of 849,855 is 241965.

GCF of Denominators means GCF of 659,695 as per the given fractions.

GCF of 659,695 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 849,855

LCM of Fractions 849/659,855/695 is 241965

3 849, 855
283, 285

∴ So the LCM of the given numbers is 3 x 283 x 285 = 241965

Least Common Multiple of 849,855 with GCF Formula

Least Common Multiple of 849,855 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 849,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,855) = 3

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

GCF(849,855) x common factors =3 x 1 = 3

LCM(849,855) = ( 849 × 855 ) / 3

LCM(849,855) = 725895 / 3

LCM(849,855) = 241965


Lets's calculate GCF of 659,695

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 241965/1

Therefore the LCM of Fractions 849/659,855/695 is 241965

Greatest Common Factor of 659,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 659,695 By Matching Biggest Common Factor Method

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 659,695 . The biggest common factor number is the GCF number.
So the greatest common factor 659,695 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 849/659, 855/695

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 849/659, 855/695?

Answer: LCM of Numerators as per given numbers 849/659, 855/695 is

LCM of Numerators i.e. for 849,855 is 241965

GCF of denominators i.e. for 659,695 is 1.

Thus, LCM of Fractions is 241965.Finally, LCM of Fractions for 849/659, 855/695 is 241965.