Least Common Multiple of 117/808, 423/679, 975/899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 117/808, 423/679, 975/899 quickly i.e. 137475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 117/808, 423/679, 975/899 is 137475.

LCM(117/808, 423/679, 975/899) = 137475

LCM of 117/808, 423/679, 975/899

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 117/808,423/679,975/899

Given numbers are 117/808,423/679,975/899

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 117,423,975

Least Common Multiple of Numerators i.e. LCM of 117,423,975 is 137475.

GCF of Denominators means GCF of 808,679,899 as per the given fractions.

GCF of 808,679,899 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 117,423,975

LCM of Fractions 117/808,423/679,975/899 is 137475

3 117, 423, 975
3 39, 141, 325
13 13, 47, 325
1, 47, 25

∴ So the LCM of the given numbers is 3 x 3 x 13 x 1 x 47 x 25 = 137475

Least Common Multiple of 117,423,975 with GCF Formula

Least Common Multiple of 117,423,975 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 117,423,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,423,975) = 3

common factors(in case of two or more numbers have common factors) = 117

GCF(117,423,975) x common factors =3 x 117 = 351

LCM(117,423,975) = ( 117 × 423 × 975 ) / 351

LCM(117,423,975) = 48253725 / 351

LCM(117,423,975) = 137475


Lets's calculate GCF of 808,679,899

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137475/1

Therefore the LCM of Fractions 117/808,423/679,975/899 is 137475

Greatest Common Factor of 808,679,899 By Matching Biggest Common Factor Method

Greatest Common Factor of 808,679,899 By Matching Biggest Common Factor Method

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Greatest Common Factor

We found the factors 808,679,899 . The biggest common factor number is the GCF number.
So the greatest common factor 808,679,899 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 117/808, 423/679, 975/899

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 117/808, 423/679, 975/899?

Answer: LCM of Numerators as per given numbers 117/808, 423/679, 975/899 is

LCM of Numerators i.e. for 117,423,975 is 137475

GCF of denominators i.e. for 808,679,899 is 1.

Thus, LCM of Fractions is 137475.Finally, LCM of Fractions for 117/808, 423/679, 975/899 is 137475.