Given numbers are 974,590,792,991,834

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

The LCM of 974,590,792,991,834 is 15673450387320.

Find LCM of 974,590,792,991,834 with Prime Factorization

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

2 x 3 x 487 x 295 x 132 x 991 x 139 = 15673450387320

Therefore, the lowest common multiple of 974,590,792,991,834 is 15673450387320.

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.

974 x 590 x 792 x 991 x 834 = 376162809295680

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.

974 : 1, 2, 487, 974

590 : 1, 2, 5, 10, 59, 118, 295, 590

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

991 : 1, 991

834 : 1, 2, 3, 6, 139, 278, 417, 834

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,590,792,991,834, is 1.

Now, the common factors can be found like this.

974:2x 487

590:2x 5x 59

792:2x 2x 2x 3x 3x 11

991:991

834:2x 3x 139

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 = 376162809295680/(1x24)

LCM = 376162809295680/24

LCM = 15673450387320

Thus, we can understand that the LCM of 974,590,792,991,834 is 15673450387320.

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

• LCM of 444, 847, 666, 549, 801
• LCM of 946, 707, 214, 667, 751
• LCM of 688, 200, 851, 752, 432
• LCM of 952, 561, 531, 304, 952
• LCM of 256, 897, 870, 205, 747

1. What is the LCM of 974, 590, 792, 991, 834?

Answer: LCM of 974, 590, 792, 991, 834 is 15673450387320.

2. How to calculate the LCM of 974, 590, 792, 991, 834?

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 974, 590, 792, 991, 834.

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}.