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LCM of 492, 813, 184, 782, 329

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


Find the LCM of 492, 813, 184, 782, 329 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 492, 813, 184, 782, 329. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 492,813,184,782,329

Given numbers are 492,813,184,782,329

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

The LCM of 492,813,184,782,329 is 34303390296.

Find LCM of 492,813,184,782,329 with Prime Factorization


2 492, 813, 184, 782, 329
2 246, 813, 92, 391, 329
3 123, 813, 46, 391, 329
23 41, 271, 46, 391, 329
41, 271, 2, 17, 329

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

2 x 2 x 3 x 23 x 41 x 271 x 2 x 17 x 329 = 34303390296

Therefore, the lowest common multiple of 492,813,184,782,329 is 34303390296.

LCM Formula to Find Lowest Common Multiple of 492,813,184,782,329

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.

492 x 813 x 184 x 782 x 329 = 18935471443392

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.

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

813 : 1, 3, 271, 813

184 : 1, 2, 4, 8, 23, 46, 92, 184

782 : 1, 2, 17, 23, 34, 46, 391, 782

329 : 1, 7, 47, 329

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,813,184,782,329, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

813:3x 271

184:2x 2x 2x 23

782:2x 17x 23

329:7x 47

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

2x 2x 2x 3x 23 = 552

Therefore, the value for common factors is 552.

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 = 18935471443392/(1x552)

LCM = 18935471443392/552

LCM = 34303390296

Thus, we can understand that the LCM of 492,813,184,782,329 is 34303390296.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 492, 813, 184, 782, 329

1. What is the LCM of 492, 813, 184, 782, 329?

Answer: LCM of 492, 813, 184, 782, 329 is 34303390296.

2. How to calculate the LCM of 492, 813, 184, 782, 329?

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 492, 813, 184, 782, 329.

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}.