Least Common Multiple of 55/589, 500/423, 893/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/589, 500/423, 893/441 quickly i.e. 4911500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/589, 500/423, 893/441 is 4911500.

LCM(55/589, 500/423, 893/441) = 4911500

LCM of 55/589, 500/423, 893/441

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 55/589,500/423,893/441

Given numbers are 55/589,500/423,893/441

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 55,500,893

Least Common Multiple of Numerators i.e. LCM of 55,500,893 is 4911500.

GCF of Denominators means GCF of 589,423,441 as per the given fractions.

GCF of 589,423,441 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,500,893

LCM of Fractions 55/589,500/423,893/441 is 4911500

5 55, 500, 893
11, 100, 893

∴ So the LCM of the given numbers is 5 x 11 x 100 x 893 = 4911500

Least Common Multiple of 55,500,893 with GCF Formula

Least Common Multiple of 55,500,893 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 55,500,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,500,893) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(55,500,893) x common factors =1 x 5 = 5

LCM(55,500,893) = ( 55 × 500 × 893 ) / 5

LCM(55,500,893) = 24557500 / 5

LCM(55,500,893) = 4911500


Lets's calculate GCF of 589,423,441

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4911500/1

Therefore the LCM of Fractions 55/589,500/423,893/441 is 4911500

Greatest Common Factor of 589,423,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 589,423,441 By Matching Biggest Common Factor Method

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

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 589,423,441 . The biggest common factor number is the GCF number.
So the greatest common factor 589,423,441 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/589, 500/423, 893/441

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 55/589, 500/423, 893/441?

Answer: LCM of Numerators as per given numbers 55/589, 500/423, 893/441 is

LCM of Numerators i.e. for 55,500,893 is 4911500

GCF of denominators i.e. for 589,423,441 is 1.

Thus, LCM of Fractions is 4911500.Finally, LCM of Fractions for 55/589, 500/423, 893/441 is 4911500.