Given numbers are 468,214,799,273,169

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

The LCM of 468,214,799,273,169 is 3640975884.

Find LCM of 468,214,799,273,169 with Prime Factorization

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

2 x 3 x 13 x 6 x 107 x 799 x 7 x 13 = 3640975884

Therefore, the lowest common multiple of 468,214,799,273,169 is 3640975884.

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.

468 x 214 x 799 x 273 x 169 = 3691949546376

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

214 : 1, 2, 107, 214

799 : 1, 17, 47, 799

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

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,214,799,273,169, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

214:2x 107

799:17x 47

273:3x 7x 13

169:13x 13

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

2x 3x 13x 13 = 1014

Therefore, the value for common factors is 1014.

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 = 3691949546376/(1x1014)

LCM = 3691949546376/1014

LCM = 3640975884

Thus, we can understand that the LCM of 468,214,799,273,169 is 3640975884.

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

• LCM of 490, 110, 311, 658, 708
• LCM of 652, 550, 705, 260, 977
• LCM of 995, 564, 633, 263, 739
• LCM of 494, 418, 398, 609, 278
• LCM of 227, 882, 946, 576, 169

1. What is the LCM of 468, 214, 799, 273, 169?

Answer: LCM of 468, 214, 799, 273, 169 is 3640975884.

2. How to calculate the LCM of 468, 214, 799, 273, 169?

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 468, 214, 799, 273, 169.

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}.