Least Common Multiple of 105/89, 888/8546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 105/89, 888/8546 quickly i.e. 31080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 105/89, 888/8546 is 31080.

LCM(105/89, 888/8546) = 31080

LCM of 105/89, 888/8546

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 105/89,888/8546

Given numbers are 105/89,888/8546

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 105,888

Least Common Multiple of Numerators i.e. LCM of 105,888 is 31080.

GCF of Denominators means GCF of 89,8546 as per the given fractions.

GCF of 89,8546 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 105,888

LCM of Fractions 105/89,888/8546 is 31080

3 105, 888
35, 296

∴ So the LCM of the given numbers is 3 x 35 x 296 = 31080

Least Common Multiple of 105,888 with GCF Formula

Least Common Multiple of 105,888 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 105,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,888) = 3

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

GCF(105,888) x common factors =3 x 1 = 3

LCM(105,888) = ( 105 × 888 ) / 3

LCM(105,888) = 93240 / 3

LCM(105,888) = 31080


Lets's calculate GCF of 89,8546

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31080/1

Therefore the LCM of Fractions 105/89,888/8546 is 31080

Greatest Common Factor of 89,8546 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,8546 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 8546

List of positive integer factors of 8546 that divides 8546 without a remainder.

1,2,4273,8546

Greatest Common Factor

We found the factors 89,8546 . The biggest common factor number is the GCF number.
So the greatest common factor 89,8546 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 105/89, 888/8546

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 105/89, 888/8546?

Answer: LCM of Numerators as per given numbers 105/89, 888/8546 is

LCM of Numerators i.e. for 105,888 is 31080

GCF of denominators i.e. for 89,8546 is 1.

Thus, LCM of Fractions is 31080.Finally, LCM of Fractions for 105/89, 888/8546 is 31080.