Least Common Multiple of 89/406, 1001/5345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/406, 1001/5345 quickly i.e. 89089 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/406, 1001/5345 is 89089.

LCM(89/406, 1001/5345) = 89089

LCM of 89/406, 1001/5345

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 89/406,1001/5345

Given numbers are 89/406,1001/5345

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 89,1001

Least Common Multiple of Numerators i.e. LCM of 89,1001 is 89089.

GCF of Denominators means GCF of 406,5345 as per the given fractions.

GCF of 406,5345 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,1001

LCM of Fractions 89/406,1001/5345 is 89089

Given numbers has no common factors except 1. So, there LCM is their product i.e 89089

Least Common Multiple of 89,1001 with GCF Formula

Least Common Multiple of 89,1001 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 89,1001 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,1001) = 1

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

GCF(89,1001) x common factors =1 x 1 = 1

LCM(89,1001) = ( 89 × 1001 ) / 1

LCM(89,1001) = 89089 / 1

LCM(89,1001) = 89089


Lets's calculate GCF of 406,5345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89089/1

Therefore the LCM of Fractions 89/406,1001/5345 is 89089

Greatest Common Factor of 406,5345 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,5345 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 5345

List of positive integer factors of 5345 that divides 5345 without a remainder.

1,5,1069,5345

Greatest Common Factor

We found the factors 406,5345 . The biggest common factor number is the GCF number.
So the greatest common factor 406,5345 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 89/406, 1001/5345

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 89/406, 1001/5345?

Answer: LCM of Numerators as per given numbers 89/406, 1001/5345 is

LCM of Numerators i.e. for 89,1001 is 89089

GCF of denominators i.e. for 406,5345 is 1.

Thus, LCM of Fractions is 89089.Finally, LCM of Fractions for 89/406, 1001/5345 is 89089.