Given numbers are 920,702,667,968,935

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

The LCM of 920,702,667,968,935 is 19263146760.

Find LCM of 920,702,667,968,935 with Prime Factorization

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

2 x 2 x 2 x 5 x 11 x 23 x 1 x 351 x 29 x 11 x 17 = 19263146760

Therefore, the lowest common multiple of 920,702,667,968,935 is 19263146760.

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.

920 x 702 x 667 x 968 x 935 = 389886090422400

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

667 : 1, 23, 29, 667

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

935 : 1, 5, 11, 17, 55, 85, 187, 935

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,702,667,968,935, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

702:2x 3x 3x 3x 13

667:23x 29

968:2x 2x 2x 11x 11

935:5x 11x 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 2x 2x 5x 11x 23 = 20240

Therefore, the value for common factors is 20240.

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 = 389886090422400/(1x20240)

LCM = 389886090422400/20240

LCM = 19263146760

Thus, we can understand that the LCM of 920,702,667,968,935 is 19263146760.

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

• LCM of 918, 151, 338, 668, 345
• LCM of 526, 796, 775, 898, 925
• LCM of 655, 425, 447, 667, 685
• LCM of 960, 105, 608, 193, 745
• LCM of 566, 674, 148, 919, 257

1. What is the LCM of 920, 702, 667, 968, 935?

Answer: LCM of 920, 702, 667, 968, 935 is 19263146760.

2. How to calculate the LCM of 920, 702, 667, 968, 935?

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 920, 702, 667, 968, 935.

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}.