Least Common Multiple of 989/548, 903/436, 713/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 989/548, 903/436, 713/241 quickly i.e. 643839 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 989/548, 903/436, 713/241 is 643839.

LCM(989/548, 903/436, 713/241) = 643839

LCM of 989/548, 903/436, 713/241

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 989/548,903/436,713/241

Given numbers are 989/548,903/436,713/241

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 989,903,713

Least Common Multiple of Numerators i.e. LCM of 989,903,713 is 643839.

GCF of Denominators means GCF of 548,436,241 as per the given fractions.

GCF of 548,436,241 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 989,903,713

LCM of Fractions 989/548,903/436,713/241 is 643839

23 989, 903, 713
43 43, 903, 31
1, 21, 31

∴ So the LCM of the given numbers is 23 x 43 x 1 x 21 x 31 = 643839

Least Common Multiple of 989,903,713 with GCF Formula

Least Common Multiple of 989,903,713 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 989,903,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,903,713) = 1

common factors(in case of two or more numbers have common factors) = 989

GCF(989,903,713) x common factors =1 x 989 = 989

LCM(989,903,713) = ( 989 × 903 × 713 ) / 989

LCM(989,903,713) = 636756771 / 989

LCM(989,903,713) = 643839


Lets's calculate GCF of 548,436,241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 643839/1

Therefore the LCM of Fractions 989/548,903/436,713/241 is 643839

Greatest Common Factor of 548,436,241 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,436,241 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Greatest Common Factor

We found the factors 548,436,241 . The biggest common factor number is the GCF number.
So the greatest common factor 548,436,241 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 989/548, 903/436, 713/241

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 989/548, 903/436, 713/241?

Answer: LCM of Numerators as per given numbers 989/548, 903/436, 713/241 is

LCM of Numerators i.e. for 989,903,713 is 643839

GCF of denominators i.e. for 548,436,241 is 1.

Thus, LCM of Fractions is 643839.Finally, LCM of Fractions for 989/548, 903/436, 713/241 is 643839.