Given numbers are 745,974,782,726,972

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

The LCM of 745,974,782,726,972 is 16684516531980.

Find LCM of 745,974,782,726,972 with Prime Factorization

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

2 x 3 x 745 x 487 x 391 x 121 x 162 = 16684516531980

Therefore, the lowest common multiple of 745,974,782,726,972 is 16684516531980.

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.

745 x 974 x 782 x 726 x 972 = 400428396767520

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.

745 : 1, 5, 149, 745

974 : 1, 2, 487, 974

782 : 1, 2, 17, 23, 34, 46, 391, 782

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,974,782,726,972, is 1.

Now, the common factors can be found like this.

745:5x 149

974:2x 487

782:2x 17x 23

726:2x 3x 11x 11

972:2x 2x 3x 3x 3x 3x 3

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 = 400428396767520/(1x24)

LCM = 400428396767520/24

LCM = 16684516531980

Thus, we can understand that the LCM of 745,974,782,726,972 is 16684516531980.

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

• LCM of 476, 436, 235, 352, 167
• LCM of 659, 356, 410, 516, 980
• LCM of 353, 864, 808, 728, 919
• LCM of 114, 844, 230, 770, 818
• LCM of 101, 778, 454, 209, 452

1. What is the LCM of 745, 974, 782, 726, 972?

Answer: LCM of 745, 974, 782, 726, 972 is 16684516531980.

2. How to calculate the LCM of 745, 974, 782, 726, 972?

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 745, 974, 782, 726, 972.

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}.