Least Common Multiple of 8659/719, 2330/2987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8659/719, 2330/2987 quickly i.e. 20175470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8659/719, 2330/2987 is 20175470.

LCM(8659/719, 2330/2987) = 20175470

LCM of 8659/719, 2330/2987

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 8659/719,2330/2987

Given numbers are 8659/719,2330/2987

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 8659,2330

Least Common Multiple of Numerators i.e. LCM of 8659,2330 is 20175470.

GCF of Denominators means GCF of 719,2987 as per the given fractions.

GCF of 719,2987 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8659,2330

LCM of Fractions 8659/719,2330/2987 is 20175470

Given numbers has no common factors except 1. So, there LCM is their product i.e 20175470

Least Common Multiple of 8659,2330 with GCF Formula

Least Common Multiple of 8659,2330 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 8659,2330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8659,2330) = 1

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

GCF(8659,2330) x common factors =1 x 1 = 1

LCM(8659,2330) = ( 8659 × 2330 ) / 1

LCM(8659,2330) = 20175470 / 1

LCM(8659,2330) = 20175470


Lets's calculate GCF of 719,2987

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20175470/1

Therefore the LCM of Fractions 8659/719,2330/2987 is 20175470

Greatest Common Factor of 719,2987 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,2987 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 2987

List of positive integer factors of 2987 that divides 2987 without a remainder.

1,29,103,2987

Greatest Common Factor

We found the factors 719,2987 . The biggest common factor number is the GCF number.
So the greatest common factor 719,2987 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 8659/719, 2330/2987

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 8659/719, 2330/2987?

Answer: LCM of Numerators as per given numbers 8659/719, 2330/2987 is

LCM of Numerators i.e. for 8659,2330 is 20175470

GCF of denominators i.e. for 719,2987 is 1.

Thus, LCM of Fractions is 20175470.Finally, LCM of Fractions for 8659/719, 2330/2987 is 20175470.