Least Common Multiple of 2148/513, 1569/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2148/513, 1569/441 quickly i.e. 1123404/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2148/513, 1569/441 is 1123404/9.

LCM(2148/513, 1569/441) = 1123404/9

LCM of 2148/513, 1569/441

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 2148/513,1569/441

Given numbers are 2148/513,1569/441

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 2148,1569

Least Common Multiple of Numerators i.e. LCM of 2148,1569 is 1123404.

GCF of Denominators means GCF of 513,441 as per the given fractions.

GCF of 513,441 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2148,1569

LCM of Fractions 2148/513,1569/441 is 1123404/9

3 2148, 1569
716, 523

∴ So the LCM of the given numbers is 3 x 716 x 523 = 1123404

Least Common Multiple of 2148,1569 with GCF Formula

Least Common Multiple of 2148,1569 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 2148,1569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2148,1569) = 3

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

GCF(2148,1569) x common factors =3 x 1 = 3

LCM(2148,1569) = ( 2148 × 1569 ) / 3

LCM(2148,1569) = 3370212 / 3

LCM(2148,1569) = 1123404


Lets's calculate GCF of 513,441

3 513, 441
3 171, 147
57, 49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1123404/9

Therefore the LCM of Fractions 2148/513,1569/441 is 1123404/9

Greatest Common Factor of 513,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,441 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 513,441 . The biggest common factor number is the GCF number.
So the greatest common factor 513,441 is 9.


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 2148/513, 1569/441

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 2148/513, 1569/441?

Answer: LCM of Numerators as per given numbers 2148/513, 1569/441 is

LCM of Numerators i.e. for 2148,1569 is 1123404

GCF of denominators i.e. for 513,441 is 9.

Thus, LCM of Fractions is 1123404/9.Finally, LCM of Fractions for 2148/513, 1569/441 is 1123404/9.