Least Common Multiple of 898/909, 2081/3564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 898/909, 2081/3564 quickly i.e. 1868738/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 898/909, 2081/3564 is 1868738/9.

LCM(898/909, 2081/3564) = 1868738/9

LCM of 898/909, 2081/3564

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 898/909,2081/3564

Given numbers are 898/909,2081/3564

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 898,2081

Least Common Multiple of Numerators i.e. LCM of 898,2081 is 1868738.

GCF of Denominators means GCF of 909,3564 as per the given fractions.

GCF of 909,3564 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 898,2081

LCM of Fractions 898/909,2081/3564 is 1868738/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 1868738

Least Common Multiple of 898,2081 with GCF Formula

Least Common Multiple of 898,2081 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 898,2081 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,2081) = 1

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

GCF(898,2081) x common factors =1 x 1 = 1

LCM(898,2081) = ( 898 × 2081 ) / 1

LCM(898,2081) = 1868738 / 1

LCM(898,2081) = 1868738


Lets's calculate GCF of 909,3564

3 909, 3564
3 303, 1188
101, 396

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1868738/9

Therefore the LCM of Fractions 898/909,2081/3564 is 1868738/9

Greatest Common Factor of 909,3564 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,3564 By Matching Biggest Common Factor Method

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 3564

List of positive integer factors of 3564 that divides 3564 without a remainder.

1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,81,99,108,132,162,198,297,324,396,594,891,1188,1782,3564

Greatest Common Factor

We found the factors 909,3564 . The biggest common factor number is the GCF number.
So the greatest common factor 909,3564 is 9.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 898/909, 2081/3564

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 898/909, 2081/3564?

Answer: LCM of Numerators as per given numbers 898/909, 2081/3564 is

LCM of Numerators i.e. for 898,2081 is 1868738

GCF of denominators i.e. for 909,3564 is 9.

Thus, LCM of Fractions is 1868738/9.Finally, LCM of Fractions for 898/909, 2081/3564 is 1868738/9.