Least Common Multiple of 589/427, 8561/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 589/427, 8561/707 quickly i.e. 720347 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 589/427, 8561/707 is 720347.

LCM(589/427, 8561/707) = 720347

LCM of 589/427, 8561/707

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 589/427,8561/707

Given numbers are 589/427,8561/707

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 589,8561

Least Common Multiple of Numerators i.e. LCM of 589,8561 is 5042429.

GCF of Denominators means GCF of 427,707 as per the given fractions.

GCF of 427,707 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 589,8561

LCM of Fractions 589/427,8561/707 is 720347

Given numbers has no common factors except 1. So, there LCM is their product i.e 5042429

Least Common Multiple of 589,8561 with GCF Formula

Least Common Multiple of 589,8561 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 589,8561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,8561) = 1

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

GCF(589,8561) x common factors =1 x 1 = 1

LCM(589,8561) = ( 589 × 8561 ) / 1

LCM(589,8561) = 5042429 / 1

LCM(589,8561) = 5042429


Lets's calculate GCF of 427,707

7 427, 707
61, 101

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5042429/7

Therefore the LCM of Fractions 589/427,8561/707 is 720347

Greatest Common Factor of 427,707 By Matching Biggest Common Factor Method

Greatest Common Factor of 427,707 By Matching Biggest Common Factor Method

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Greatest Common Factor

We found the factors 427,707 . The biggest common factor number is the GCF number.
So the greatest common factor 427,707 is 7.


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 589/427, 8561/707

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 589/427, 8561/707?

Answer: LCM of Numerators as per given numbers 589/427, 8561/707 is

LCM of Numerators i.e. for 589,8561 is 5042429

GCF of denominators i.e. for 427,707 is 7.

Thus, LCM of Fractions is 720347.Finally, LCM of Fractions for 589/427, 8561/707 is 720347.