Least Common Multiple of 36/289, 89/886, 289/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 36/289, 89/886, 289/703 quickly i.e. 925956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/289, 89/886, 289/703 is 925956.

LCM(36/289, 89/886, 289/703) = 925956

LCM of 36/289, 89/886, 289/703

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 36/289,89/886,289/703

Given numbers are 36/289,89/886,289/703

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 36,89,289

Least Common Multiple of Numerators i.e. LCM of 36,89,289 is 925956.

GCF of Denominators means GCF of 289,886,703 as per the given fractions.

GCF of 289,886,703 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,89,289

LCM of Fractions 36/289,89/886,289/703 is 925956

Given numbers has no common factors except 1. So, there LCM is their product i.e 925956

Least Common Multiple of 36,89,289 with GCF Formula

Least Common Multiple of 36,89,289 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 36,89,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,89,289) = 1

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

GCF(36,89,289) x common factors =1 x 1 = 1

LCM(36,89,289) = ( 36 × 89 × 289 ) / 1

LCM(36,89,289) = 925956 / 1

LCM(36,89,289) = 925956


Lets's calculate GCF of 289,886,703

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 925956/1

Therefore the LCM of Fractions 36/289,89/886,289/703 is 925956

Greatest Common Factor of 289,886,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 289,886,703 By Matching Biggest Common Factor Method

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Greatest Common Factor

We found the factors 289,886,703 . The biggest common factor number is the GCF number.
So the greatest common factor 289,886,703 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 36/289, 89/886, 289/703

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 36/289, 89/886, 289/703?

Answer: LCM of Numerators as per given numbers 36/289, 89/886, 289/703 is

LCM of Numerators i.e. for 36,89,289 is 925956

GCF of denominators i.e. for 289,886,703 is 1.

Thus, LCM of Fractions is 925956.Finally, LCM of Fractions for 36/289, 89/886, 289/703 is 925956.