Least Common Multiple of 87/711, 1107/1592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/711, 1107/1592 quickly i.e. 32103 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/711, 1107/1592 is 32103.

LCM(87/711, 1107/1592) = 32103

LCM of 87/711, 1107/1592

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 87/711,1107/1592

Given numbers are 87/711,1107/1592

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 87,1107

Least Common Multiple of Numerators i.e. LCM of 87,1107 is 32103.

GCF of Denominators means GCF of 711,1592 as per the given fractions.

GCF of 711,1592 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,1107

LCM of Fractions 87/711,1107/1592 is 32103

3 87, 1107
29, 369

∴ So the LCM of the given numbers is 3 x 29 x 369 = 32103

Least Common Multiple of 87,1107 with GCF Formula

Least Common Multiple of 87,1107 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 87,1107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,1107) = 3

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

GCF(87,1107) x common factors =3 x 1 = 3

LCM(87,1107) = ( 87 × 1107 ) / 3

LCM(87,1107) = 96309 / 3

LCM(87,1107) = 32103


Lets's calculate GCF of 711,1592

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32103/1

Therefore the LCM of Fractions 87/711,1107/1592 is 32103

Greatest Common Factor of 711,1592 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,1592 By Matching Biggest Common Factor Method

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 1592

List of positive integer factors of 1592 that divides 1592 without a remainder.

1,2,4,8,199,398,796,1592

Greatest Common Factor

We found the factors 711,1592 . The biggest common factor number is the GCF number.
So the greatest common factor 711,1592 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 87/711, 1107/1592

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 87/711, 1107/1592?

Answer: LCM of Numerators as per given numbers 87/711, 1107/1592 is

LCM of Numerators i.e. for 87,1107 is 32103

GCF of denominators i.e. for 711,1592 is 1.

Thus, LCM of Fractions is 32103.Finally, LCM of Fractions for 87/711, 1107/1592 is 32103.