Given numbers are 268,648,760,358,802

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

The LCM of 268,648,760,358,802 is 296053921080.

Find LCM of 268,648,760,358,802 with Prime Factorization

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

2 x 2 x 2 x 67 x 81 x 95 x 179 x 401 = 296053921080

Therefore, the lowest common multiple of 268,648,760,358,802 is 296053921080.

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.

268 x 648 x 760 x 358 x 802 = 37894901898240

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.

268 : 1, 2, 4, 67, 134, 268

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

358 : 1, 2, 179, 358

802 : 1, 2, 401, 802

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,648,760,358,802, is 2.

Now, the common factors can be found like this.

268:2x 2x 67

648:2x 2x 2x 3x 3x 3x 3

760:2x 2x 2x 5x 19

358:2x 179

802:2x 401

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 2x 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 37894901898240/(2x64)

LCM = 37894901898240/128

LCM = 296053921080

Thus, we can understand that the LCM of 268,648,760,358,802 is 296053921080.

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

• LCM of 560, 567, 786, 329, 150
• LCM of 591, 201, 350, 325, 151
• LCM of 433, 567, 451, 797, 118
• LCM of 891, 928, 998, 589, 991
• LCM of 550, 234, 733, 152, 993

1. What is the LCM of 268, 648, 760, 358, 802?

Answer: LCM of 268, 648, 760, 358, 802 is 296053921080.

2. How to calculate the LCM of 268, 648, 760, 358, 802?

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 268, 648, 760, 358, 802.

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}.