Given numbers are 268,264,918,990,718

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

The LCM of 268,264,918,990,718 is 4857743880.

Find LCM of 268,264,918,990,718 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 67 x 2 x 51 x 5 x 359 = 4857743880

Therefore, the lowest common multiple of 268,264,918,990,718 is 4857743880.

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 264 x 918 x 990 x 718 = 46167997835520

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

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

718 : 1, 2, 359, 718

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,264,918,990,718, is 2.

Now, the common factors can be found like this.

268:2x 2x 67

264:2x 2x 2x 3x 11

918:2x 3x 3x 3x 17

990:2x 3x 3x 5x 11

718:2x 359

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 3x 3x 3x 11 = 4752

Therefore, the value for common factors is 4752.

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 = 46167997835520/(2x4752)

LCM = 46167997835520/9504

LCM = 4857743880

Thus, we can understand that the LCM of 268,264,918,990,718 is 4857743880.

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

• LCM of 305, 971, 597, 107, 117
• LCM of 249, 859, 934, 777, 901
• LCM of 523, 757, 591, 277, 791
• LCM of 243, 622, 570, 598, 212
• LCM of 531, 187, 144, 150, 662

1. What is the LCM of 268, 264, 918, 990, 718?

Answer: LCM of 268, 264, 918, 990, 718 is 4857743880.

2. How to calculate the LCM of 268, 264, 918, 990, 718?

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, 264, 918, 990, 718.

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}.