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LCM of 626, 821, 261, 581, 998

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


Find the LCM of 626, 821, 261, 581, 998 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 626, 821, 261, 581, 998. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 626,821,261,581,998

Given numbers are 626,821,261,581,998

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

The LCM of 626,821,261,581,998 is 38889707407614.

Find LCM of 626,821,261,581,998 with Prime Factorization


2 626, 821, 261, 581, 998
313, 821, 261, 581, 499

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

2 x 313 x 821 x 261 x 581 x 499 = 38889707407614

Therefore, the lowest common multiple of 626,821,261,581,998 is 38889707407614.

LCM Formula to Find Lowest Common Multiple of 626,821,261,581,998

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.

626 x 821 x 261 x 581 x 998 = 77779414815228

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.

626 : 1, 2, 313, 626

821 : 1, 821

261 : 1, 3, 9, 29, 87, 261

581 : 1, 7, 83, 581

998 : 1, 2, 499, 998

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,821,261,581,998, is 1.

Now, the common factors can be found like this.

626:2x 313

821:821

261:3x 3x 29

581:7x 83

998:2x 499

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

2 = 2

Therefore, the value for common factors is 2.

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 = 77779414815228/(1x2)

LCM = 77779414815228/2

LCM = 38889707407614

Thus, we can understand that the LCM of 626,821,261,581,998 is 38889707407614.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 626, 821, 261, 581, 998

1. What is the LCM of 626, 821, 261, 581, 998?

Answer: LCM of 626, 821, 261, 581, 998 is 38889707407614.

2. How to calculate the LCM of 626, 821, 261, 581, 998?

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 626, 821, 261, 581, 998.

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}.