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LCM of 443, 698, 278, 551, 796

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


Find the LCM of 443, 698, 278, 551, 796 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 443, 698, 278, 551, 796. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 443,698,278,551,796

Given numbers are 443,698,278,551,796

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

The LCM of 443,698,278,551,796 is 9425591636308.

Find LCM of 443,698,278,551,796 with Prime Factorization


2 443, 698, 278, 551, 796
443, 349, 139, 551, 398

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

2 x 443 x 349 x 139 x 551 x 398 = 9425591636308

Therefore, the lowest common multiple of 443,698,278,551,796 is 9425591636308.

LCM Formula to Find Lowest Common Multiple of 443,698,278,551,796

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.

443 x 698 x 278 x 551 x 796 = 37702366545232

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.

443 : 1, 443

698 : 1, 2, 349, 698

278 : 1, 2, 139, 278

551 : 1, 19, 29, 551

796 : 1, 2, 4, 199, 398, 796

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 443,698,278,551,796, is 1.

Now, the common factors can be found like this.

443:443

698:2x 349

278:2x 139

551:19x 29

796:2x 2x 199

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 37702366545232/(1x4)

LCM = 37702366545232/4

LCM = 9425591636308

Thus, we can understand that the LCM of 443,698,278,551,796 is 9425591636308.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 443, 698, 278, 551, 796

1. What is the LCM of 443, 698, 278, 551, 796?

Answer: LCM of 443, 698, 278, 551, 796 is 9425591636308.

2. How to calculate the LCM of 443, 698, 278, 551, 796?

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 443, 698, 278, 551, 796.

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}.