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LCM of 489, 593, 402, 163, 273

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


Find the LCM of 489, 593, 402, 163, 273 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 489, 593, 402, 163, 273. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 489,593,402,163,273

Given numbers are 489,593,402,163,273

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

The LCM of 489,593,402,163,273 is 3535979538.

Find LCM of 489,593,402,163,273 with Prime Factorization


3 489, 593, 402, 163, 273
163 163, 593, 134, 163, 91
1, 593, 134, 1, 91

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

3 x 163 x 1 x 593 x 134 x 1 x 91 = 3535979538

Therefore, the lowest common multiple of 489,593,402,163,273 is 3535979538.

LCM Formula to Find Lowest Common Multiple of 489,593,402,163,273

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.

489 x 593 x 402 x 163 x 273 = 5187281982246

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.

489 : 1, 3, 163, 489

593 : 1, 593

402 : 1, 2, 3, 6, 67, 134, 201, 402

163 : 1, 163

273 : 1, 3, 7, 13, 21, 39, 91, 273

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,593,402,163,273, is 1.

Now, the common factors can be found like this.

489:3x 163

593:593

402:2x 3x 67

163:163

273:3x 7x 13

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 163 = 1467

Therefore, the value for common factors is 1467.

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 = 5187281982246/(1x1467)

LCM = 5187281982246/1467

LCM = 3535979538

Thus, we can understand that the LCM of 489,593,402,163,273 is 3535979538.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 489, 593, 402, 163, 273

1. What is the LCM of 489, 593, 402, 163, 273?

Answer: LCM of 489, 593, 402, 163, 273 is 3535979538.

2. How to calculate the LCM of 489, 593, 402, 163, 273?

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 489, 593, 402, 163, 273.

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}.