Least Common Multiple of 594/80, 899/28, 521/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 594/80, 899/28, 521/590 quickly i.e. 139108563 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 594/80, 899/28, 521/590 is 139108563.

LCM(594/80, 899/28, 521/590) = 139108563

LCM of 594/80, 899/28, 521/590

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 594/80,899/28,521/590

Given numbers are 594/80,899/28,521/590

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 594,899,521

Least Common Multiple of Numerators i.e. LCM of 594,899,521 is 278217126.

GCF of Denominators means GCF of 80,28,590 as per the given fractions.

GCF of 80,28,590 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 594,899,521

LCM of Fractions 594/80,899/28,521/590 is 139108563

Given numbers has no common factors except 1. So, there LCM is their product i.e 278217126

Least Common Multiple of 594,899,521 with GCF Formula

Least Common Multiple of 594,899,521 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 594,899,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,899,521) = 1

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

GCF(594,899,521) x common factors =1 x 1 = 1

LCM(594,899,521) = ( 594 × 899 × 521 ) / 1

LCM(594,899,521) = 278217126 / 1

LCM(594,899,521) = 278217126


Lets's calculate GCF of 80,28,590

2 80, 28, 590
40, 14, 295

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278217126/2

Therefore the LCM of Fractions 594/80,899/28,521/590 is 139108563

Greatest Common Factor of 80,28,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,28,590 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 80,28,590 . The biggest common factor number is the GCF number.
So the greatest common factor 80,28,590 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 594/80, 899/28, 521/590

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 594/80, 899/28, 521/590?

Answer: LCM of Numerators as per given numbers 594/80, 899/28, 521/590 is

LCM of Numerators i.e. for 594,899,521 is 278217126

GCF of denominators i.e. for 80,28,590 is 2.

Thus, LCM of Fractions is 139108563.Finally, LCM of Fractions for 594/80, 899/28, 521/590 is 139108563.