Given numbers are 784,146,860,972,776

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

The LCM of 784,146,860,972,776 is 290038326480.

Find LCM of 784,146,860,972,776 with Prime Factorization

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

2 x 2 x 2 x 98 x 73 x 215 x 243 x 97 = 290038326480

Therefore, the lowest common multiple of 784,146,860,972,776 is 290038326480.

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.

784 x 146 x 860 x 972 x 776 = 74249811578880

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.

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

146 : 1, 2, 73, 146

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

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

776 : 1, 2, 4, 8, 97, 194, 388, 776

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,146,860,972,776, is 2.

Now, the common factors can be found like this.

784:2x 2x 2x 2x 7x 7

146:2x 73

860:2x 2x 5x 43

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

776:2x 2x 2x 97

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 2x 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 74249811578880/(2x128)

LCM = 74249811578880/256

LCM = 290038326480

Thus, we can understand that the LCM of 784,146,860,972,776 is 290038326480.

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

• LCM of 871, 216, 154, 232, 242
• LCM of 423, 757, 737, 406, 517
• LCM of 275, 850, 878, 717, 362
• LCM of 279, 515, 508, 851, 288
• LCM of 356, 936, 792, 340, 950

1. What is the LCM of 784, 146, 860, 972, 776?

Answer: LCM of 784, 146, 860, 972, 776 is 290038326480.

2. How to calculate the LCM of 784, 146, 860, 972, 776?

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 784, 146, 860, 972, 776.

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}.