Least Common Multiple of 12/552, 171/637, 899/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 12/552, 171/637, 899/441 quickly i.e. 614916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/552, 171/637, 899/441 is 614916.

LCM(12/552, 171/637, 899/441) = 614916

LCM of 12/552, 171/637, 899/441

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 12/552,171/637,899/441

Given numbers are 12/552,171/637,899/441

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 12,171,899

Least Common Multiple of Numerators i.e. LCM of 12,171,899 is 614916.

GCF of Denominators means GCF of 552,637,441 as per the given fractions.

GCF of 552,637,441 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,171,899

LCM of Fractions 12/552,171/637,899/441 is 614916

3 12, 171, 899
4, 57, 899

∴ So the LCM of the given numbers is 3 x 4 x 57 x 899 = 614916

Least Common Multiple of 12,171,899 with GCF Formula

Least Common Multiple of 12,171,899 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 12,171,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,171,899) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(12,171,899) x common factors =1 x 3 = 3

LCM(12,171,899) = ( 12 × 171 × 899 ) / 3

LCM(12,171,899) = 1844748 / 3

LCM(12,171,899) = 614916


Lets's calculate GCF of 552,637,441

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 614916/1

Therefore the LCM of Fractions 12/552,171/637,899/441 is 614916

Greatest Common Factor of 552,637,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,637,441 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

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 552,637,441 . The biggest common factor number is the GCF number.
So the greatest common factor 552,637,441 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 12/552, 171/637, 899/441

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 12/552, 171/637, 899/441?

Answer: LCM of Numerators as per given numbers 12/552, 171/637, 899/441 is

LCM of Numerators i.e. for 12,171,899 is 614916

GCF of denominators i.e. for 552,637,441 is 1.

Thus, LCM of Fractions is 614916.Finally, LCM of Fractions for 12/552, 171/637, 899/441 is 614916.