Given numbers are 780,459,968,974

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

The LCM of 780,459,968,974 is 14064696360.

Find LCM of 780,459,968,974 with Prime Factorization

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

2 x 2 x 3 x 65 x 153 x 242 x 487 = 14064696360

Therefore, the lowest common multiple of 780,459,968,974 is 14064696360.

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.

780 x 459 x 968 x 974 = 337552712640

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.

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

459 : 1, 3, 9, 17, 27, 51, 153, 459

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

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,459,968,974, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

459:3x 3x 3x 17

968:2x 2x 2x 11x 11

974:2x 487

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 3 = 24

Therefore, the value for common factors is 24.

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 = 337552712640/(1x24)

LCM = 337552712640/24

LCM = 14064696360

Thus, we can understand that the LCM of 780,459,968,974 is 14064696360.

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

• LCM of 519, 216, 171, 182
• LCM of 775, 701, 661, 729
• LCM of 953, 399, 822, 191
• LCM of 786, 569, 225, 788
• LCM of 116, 672, 936, 936

1. What is the LCM of 780, 459, 968, 974?

Answer: LCM of 780, 459, 968, 974 is 14064696360.

2. How to calculate the LCM of 780, 459, 968, 974?

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 780, 459, 968, 974.

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}.