Least Common Multiple of 87/89, 31/39, 184/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/89, 31/39, 184/910 quickly i.e. 496248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/89, 31/39, 184/910 is 496248.

LCM(87/89, 31/39, 184/910) = 496248

LCM of 87/89, 31/39, 184/910

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 87/89,31/39,184/910

Given numbers are 87/89,31/39,184/910

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 87,31,184

Least Common Multiple of Numerators i.e. LCM of 87,31,184 is 496248.

GCF of Denominators means GCF of 89,39,910 as per the given fractions.

GCF of 89,39,910 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,31,184

LCM of Fractions 87/89,31/39,184/910 is 496248

Given numbers has no common factors except 1. So, there LCM is their product i.e 496248

Least Common Multiple of 87,31,184 with GCF Formula

Least Common Multiple of 87,31,184 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 87,31,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,31,184) = 1

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

GCF(87,31,184) x common factors =1 x 1 = 1

LCM(87,31,184) = ( 87 × 31 × 184 ) / 1

LCM(87,31,184) = 496248 / 1

LCM(87,31,184) = 496248


Lets's calculate GCF of 89,39,910

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 496248/1

Therefore the LCM of Fractions 87/89,31/39,184/910 is 496248

Greatest Common Factor of 89,39,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,39,910 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 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 89,39,910 . The biggest common factor number is the GCF number.
So the greatest common factor 89,39,910 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 87/89, 31/39, 184/910

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 87/89, 31/39, 184/910?

Answer: LCM of Numerators as per given numbers 87/89, 31/39, 184/910 is

LCM of Numerators i.e. for 87,31,184 is 496248

GCF of denominators i.e. for 89,39,910 is 1.

Thus, LCM of Fractions is 496248.Finally, LCM of Fractions for 87/89, 31/39, 184/910 is 496248.