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LCM of 249, 818, 698, 377, 616

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


Find the LCM of 249, 818, 698, 377, 616 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 249, 818, 698, 377, 616. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 249,818,698,377,616

Given numbers are 249,818,698,377,616

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

The LCM of 249,818,698,377,616 is 8254107950088.

Find LCM of 249,818,698,377,616 with Prime Factorization


2 249, 818, 698, 377, 616
249, 409, 349, 377, 308

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

2 x 249 x 409 x 349 x 377 x 308 = 8254107950088

Therefore, the lowest common multiple of 249,818,698,377,616 is 8254107950088.

LCM Formula to Find Lowest Common Multiple of 249,818,698,377,616

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.

249 x 818 x 698 x 377 x 616 = 33016431800352

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.

249 : 1, 3, 83, 249

818 : 1, 2, 409, 818

698 : 1, 2, 349, 698

377 : 1, 13, 29, 377

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,818,698,377,616, is 1.

Now, the common factors can be found like this.

249:3x 83

818:2x 409

698:2x 349

377:13x 29

616:2x 2x 2x 7x 11

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 = 33016431800352/(1x4)

LCM = 33016431800352/4

LCM = 8254107950088

Thus, we can understand that the LCM of 249,818,698,377,616 is 8254107950088.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 249, 818, 698, 377, 616

1. What is the LCM of 249, 818, 698, 377, 616?

Answer: LCM of 249, 818, 698, 377, 616 is 8254107950088.

2. How to calculate the LCM of 249, 818, 698, 377, 616?

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 249, 818, 698, 377, 616.

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}.