Given numbers are 972,678,782,651,802

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

The LCM of 972,678,782,651,802 is 3737021291892.

Find LCM of 972,678,782,651,802 with Prime Factorization

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

2 x 3 x 162 x 113 x 391 x 217 x 401 = 3737021291892

Therefore, the lowest common multiple of 972,678,782,651,802 is 3737021291892.

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 678 x 782 x 651 x 802 = 269065533016224

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

678 : 1, 2, 3, 6, 113, 226, 339, 678

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

651 : 1, 3, 7, 21, 31, 93, 217, 651

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,678,782,651,802, is 1.

Now, the common factors can be found like this.

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

678:2x 3x 113

782:2x 17x 23

651:3x 7x 31

802:2x 401

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 269065533016224/(1x72)

LCM = 269065533016224/72

LCM = 3737021291892

Thus, we can understand that the LCM of 972,678,782,651,802 is 3737021291892.

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

• LCM of 687, 109, 612, 807, 208
• LCM of 727, 328, 675, 403, 167
• LCM of 286, 342, 525, 647, 233
• LCM of 132, 752, 556, 692, 893
• LCM of 739, 192, 863, 963, 202

1. What is the LCM of 972, 678, 782, 651, 802?

Answer: LCM of 972, 678, 782, 651, 802 is 3737021291892.

2. How to calculate the LCM of 972, 678, 782, 651, 802?

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, 678, 782, 651, 802.

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}.