Given numbers are 972,686,772,349,782

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

The LCM of 972,686,772,349,782 is 8780512759452.

Find LCM of 972,686,772,349,782 with Prime Factorization

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

2 x 2 x 243 x 343 x 193 x 349 x 391 = 8780512759452

Therefore, the lowest common multiple of 972,686,772,349,782 is 8780512759452.

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.

972 x 686 x 772 x 349 x 782 = 140488204151232

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.

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

686 : 1, 2, 7, 14, 49, 98, 343, 686

772 : 1, 2, 4, 193, 386, 772

349 : 1, 349

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,686,772,349,782, is 1.

Now, the common factors can be found like this.

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

686:2x 7x 7x 7

772:2x 2x 193

349:349

782:2x 17x 23

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 2 = 16

Therefore, the value for common factors is 16.

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 = 140488204151232/(1x16)

LCM = 140488204151232/16

LCM = 8780512759452

Thus, we can understand that the LCM of 972,686,772,349,782 is 8780512759452.

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

• LCM of 747, 315, 861, 835, 622
• LCM of 307, 605, 817, 236, 986
• LCM of 695, 664, 166, 131, 702
• LCM of 634, 176, 676, 447, 744
• LCM of 562, 944, 563, 567, 475

1. What is the LCM of 972, 686, 772, 349, 782?

Answer: LCM of 972, 686, 772, 349, 782 is 8780512759452.

2. How to calculate the LCM of 972, 686, 772, 349, 782?

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 972, 686, 772, 349, 782.

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}.