Least Common Multiple of 9813/518, 3487/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9813/518, 3487/458 quickly i.e. 34217931/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9813/518, 3487/458 is 34217931/2.

LCM(9813/518, 3487/458) = 34217931/2

LCM of 9813/518, 3487/458

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 9813/518,3487/458

Given numbers are 9813/518,3487/458

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 9813,3487

Least Common Multiple of Numerators i.e. LCM of 9813,3487 is 34217931.

GCF of Denominators means GCF of 518,458 as per the given fractions.

GCF of 518,458 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9813,3487

LCM of Fractions 9813/518,3487/458 is 34217931/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 34217931

Least Common Multiple of 9813,3487 with GCF Formula

Least Common Multiple of 9813,3487 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 9813,3487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9813,3487) = 1

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

GCF(9813,3487) x common factors =1 x 1 = 1

LCM(9813,3487) = ( 9813 × 3487 ) / 1

LCM(9813,3487) = 34217931 / 1

LCM(9813,3487) = 34217931


Lets's calculate GCF of 518,458

2 518, 458
259, 229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34217931/2

Therefore the LCM of Fractions 9813/518,3487/458 is 34217931/2

Greatest Common Factor of 518,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,458 By Matching Biggest Common Factor Method

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 518,458 . The biggest common factor number is the GCF number.
So the greatest common factor 518,458 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9813/518, 3487/458

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 9813/518, 3487/458?

Answer: LCM of Numerators as per given numbers 9813/518, 3487/458 is

LCM of Numerators i.e. for 9813,3487 is 34217931

GCF of denominators i.e. for 518,458 is 2.

Thus, LCM of Fractions is 34217931/2.Finally, LCM of Fractions for 9813/518, 3487/458 is 34217931/2.