Given numbers are 338,273,765,626,272

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

The LCM of 338,273,765,626,272 is 4532214960.

Find LCM of 338,273,765,626,272 with Prime Factorization

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

2 x 3 x 13 x 17 x 13 x 7 x 15 x 313 x 8 = 4532214960

Therefore, the lowest common multiple of 338,273,765,626,272 is 4532214960.

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.

338 x 273 x 765 x 626 x 272 = 12019434073920

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.

338 : 1, 2, 13, 26, 169, 338

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

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

626 : 1, 2, 313, 626

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,273,765,626,272, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

273:3x 7x 13

765:3x 3x 5x 17

626:2x 313

272:2x 2x 2x 2x 17

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 3x 13x 17 = 2652

Therefore, the value for common factors is 2652.

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 = 12019434073920/(1x2652)

LCM = 12019434073920/2652

LCM = 4532214960

Thus, we can understand that the LCM of 338,273,765,626,272 is 4532214960.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 660, 218, 915, 702, 825
• LCM of 450, 171, 117, 374, 893
• LCM of 681, 826, 645, 807, 728
• LCM of 690, 297, 295, 807, 928
• LCM of 669, 187, 681, 626, 158

1. What is the LCM of 338, 273, 765, 626, 272?

Answer: LCM of 338, 273, 765, 626, 272 is 4532214960.

2. How to calculate the LCM of 338, 273, 765, 626, 272?

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 338, 273, 765, 626, 272.

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}.