Least Common Multiple of 5491/734, 9966/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5491/734, 9966/526 quickly i.e. 27361653 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5491/734, 9966/526 is 27361653.

LCM(5491/734, 9966/526) = 27361653

LCM of 5491/734, 9966/526

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 5491/734,9966/526

Given numbers are 5491/734,9966/526

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 5491,9966

Least Common Multiple of Numerators i.e. LCM of 5491,9966 is 54723306.

GCF of Denominators means GCF of 734,526 as per the given fractions.

GCF of 734,526 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5491,9966

LCM of Fractions 5491/734,9966/526 is 27361653

Given numbers has no common factors except 1. So, there LCM is their product i.e 54723306

Least Common Multiple of 5491,9966 with GCF Formula

Least Common Multiple of 5491,9966 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 5491,9966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5491,9966) = 1

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

GCF(5491,9966) x common factors =1 x 1 = 1

LCM(5491,9966) = ( 5491 × 9966 ) / 1

LCM(5491,9966) = 54723306 / 1

LCM(5491,9966) = 54723306


Lets's calculate GCF of 734,526

2 734, 526
367, 263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54723306/2

Therefore the LCM of Fractions 5491/734,9966/526 is 27361653

Greatest Common Factor of 734,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,526 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 734,526 . The biggest common factor number is the GCF number.
So the greatest common factor 734,526 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 5491/734, 9966/526

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 5491/734, 9966/526?

Answer: LCM of Numerators as per given numbers 5491/734, 9966/526 is

LCM of Numerators i.e. for 5491,9966 is 54723306

GCF of denominators i.e. for 734,526 is 2.

Thus, LCM of Fractions is 27361653.Finally, LCM of Fractions for 5491/734, 9966/526 is 27361653.