Least Common Multiple of 521/40, 306/5621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 521/40, 306/5621 quickly i.e. 159426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 521/40, 306/5621 is 159426.

LCM(521/40, 306/5621) = 159426

LCM of 521/40, 306/5621

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 521/40,306/5621

Given numbers are 521/40,306/5621

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 521,306

Least Common Multiple of Numerators i.e. LCM of 521,306 is 159426.

GCF of Denominators means GCF of 40,5621 as per the given fractions.

GCF of 40,5621 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 521,306

LCM of Fractions 521/40,306/5621 is 159426

Given numbers has no common factors except 1. So, there LCM is their product i.e 159426

Least Common Multiple of 521,306 with GCF Formula

Least Common Multiple of 521,306 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 521,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(521,306) = 1

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

GCF(521,306) x common factors =1 x 1 = 1

LCM(521,306) = ( 521 × 306 ) / 1

LCM(521,306) = 159426 / 1

LCM(521,306) = 159426


Lets's calculate GCF of 40,5621

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159426/1

Therefore the LCM of Fractions 521/40,306/5621 is 159426

Greatest Common Factor of 40,5621 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,5621 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

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

Factors of 5621

List of positive integer factors of 5621 that divides 5621 without a remainder.

1,7,11,73,77,511,803,5621

Greatest Common Factor

We found the factors 40,5621 . The biggest common factor number is the GCF number.
So the greatest common factor 40,5621 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 521/40, 306/5621

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 521/40, 306/5621?

Answer: LCM of Numerators as per given numbers 521/40, 306/5621 is

LCM of Numerators i.e. for 521,306 is 159426

GCF of denominators i.e. for 40,5621 is 1.

Thus, LCM of Fractions is 159426.Finally, LCM of Fractions for 521/40, 306/5621 is 159426.