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LCM of 193, 303, 238, 459, 489

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 193, 303, 238, 459, 489 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 193, 303, 238, 459, 489. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 193,303,238,459,489

Given numbers are 193,303,238,459,489

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 193,303,238,459,489 is 20417708934.

Find LCM of 193,303,238,459,489 with Prime Factorization


3 193, 303, 238, 459, 489
17 193, 101, 238, 153, 163
193, 101, 14, 9, 163

Multiply the prime numbers at the bottom and the left side.

3 x 17 x 193 x 101 x 14 x 9 x 163 = 20417708934

Therefore, the lowest common multiple of 193,303,238,459,489 is 20417708934.

LCM Formula to Find Lowest Common Multiple of 193,303,238,459,489

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

193 x 303 x 238 x 459 x 489 = 3123909466902

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

193 : 1, 193

303 : 1, 3, 101, 303

238 : 1, 2, 7, 14, 17, 34, 119, 238

459 : 1, 3, 9, 17, 27, 51, 153, 459

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,303,238,459,489, is 1.

Now, the common factors can be found like this.

193:193

303:3x 101

238:2x 7x 17

459:3x 3x 3x 17

489:3x 163

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 17 = 153

Therefore, the value for common factors is 153.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 3123909466902/(1x153)

LCM = 3123909466902/153

LCM = 20417708934

Thus, we can understand that the LCM of 193,303,238,459,489 is 20417708934.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 193, 303, 238, 459, 489

1. What is the LCM of 193, 303, 238, 459, 489?

Answer: LCM of 193, 303, 238, 459, 489 is 20417708934.

2. How to calculate the LCM of 193, 303, 238, 459, 489?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 193, 303, 238, 459, 489.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.