Least Common Multiple of 9087/184, 1140/3891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9087/184, 1140/3891 quickly i.e. 3453060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9087/184, 1140/3891 is 3453060.

LCM(9087/184, 1140/3891) = 3453060

LCM of 9087/184, 1140/3891

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 9087/184,1140/3891

Given numbers are 9087/184,1140/3891

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 9087,1140

Least Common Multiple of Numerators i.e. LCM of 9087,1140 is 3453060.

GCF of Denominators means GCF of 184,3891 as per the given fractions.

GCF of 184,3891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9087,1140

LCM of Fractions 9087/184,1140/3891 is 3453060

3 9087, 1140
3029, 380

∴ So the LCM of the given numbers is 3 x 3029 x 380 = 3453060

Least Common Multiple of 9087,1140 with GCF Formula

Least Common Multiple of 9087,1140 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 9087,1140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9087,1140) = 3

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

GCF(9087,1140) x common factors =3 x 1 = 3

LCM(9087,1140) = ( 9087 × 1140 ) / 3

LCM(9087,1140) = 10359180 / 3

LCM(9087,1140) = 3453060


Lets's calculate GCF of 184,3891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3453060/1

Therefore the LCM of Fractions 9087/184,1140/3891 is 3453060

Greatest Common Factor of 184,3891 By Matching Biggest Common Factor Method

Greatest Common Factor of 184,3891 By Matching Biggest Common Factor Method

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 3891

List of positive integer factors of 3891 that divides 3891 without a remainder.

1,3,1297,3891

Greatest Common Factor

We found the factors 184,3891 . The biggest common factor number is the GCF number.
So the greatest common factor 184,3891 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9087/184, 1140/3891

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 9087/184, 1140/3891?

Answer: LCM of Numerators as per given numbers 9087/184, 1140/3891 is

LCM of Numerators i.e. for 9087,1140 is 3453060

GCF of denominators i.e. for 184,3891 is 1.

Thus, LCM of Fractions is 3453060.Finally, LCM of Fractions for 9087/184, 1140/3891 is 3453060.