Least Common Multiple of 360/87, 804/9891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 360/87, 804/9891 quickly i.e. 8040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 360/87, 804/9891 is 8040.

LCM(360/87, 804/9891) = 8040

LCM of 360/87, 804/9891

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 360/87,804/9891

Given numbers are 360/87,804/9891

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 360,804

Least Common Multiple of Numerators i.e. LCM of 360,804 is 24120.

GCF of Denominators means GCF of 87,9891 as per the given fractions.

GCF of 87,9891 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 360,804

LCM of Fractions 360/87,804/9891 is 8040

2 360, 804
2 180, 402
3 90, 201
30, 67

∴ So the LCM of the given numbers is 2 x 2 x 3 x 30 x 67 = 24120

Least Common Multiple of 360,804 with GCF Formula

Least Common Multiple of 360,804 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 360,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,804) = 12

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

GCF(360,804) x common factors =12 x 1 = 12

LCM(360,804) = ( 360 × 804 ) / 12

LCM(360,804) = 289440 / 12

LCM(360,804) = 24120


Lets's calculate GCF of 87,9891

3 87, 9891
29, 3297

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24120/3

Therefore the LCM of Fractions 360/87,804/9891 is 8040

Greatest Common Factor of 87,9891 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,9891 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 9891

List of positive integer factors of 9891 that divides 9891 without a remainder.

1,3,7,9,21,63,157,471,1099,1413,3297,9891

Greatest Common Factor

We found the factors 87,9891 . The biggest common factor number is the GCF number.
So the greatest common factor 87,9891 is 3.


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 360/87, 804/9891

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 360/87, 804/9891?

Answer: LCM of Numerators as per given numbers 360/87, 804/9891 is

LCM of Numerators i.e. for 360,804 is 24120

GCF of denominators i.e. for 87,9891 is 3.

Thus, LCM of Fractions is 8040.Finally, LCM of Fractions for 360/87, 804/9891 is 8040.