Given numbers are 804,677,643,305,978

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

The LCM of 804,677,643,305,978 is 17399755037460.

Find LCM of 804,677,643,305,978 with Prime Factorization

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

2 x 3 x 134 x 677 x 643 x 305 x 163 = 17399755037460

Therefore, the lowest common multiple of 804,677,643,305,978 is 17399755037460.

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.

804 x 677 x 643 x 305 x 978 = 104398530224760

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.

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

677 : 1, 677

643 : 1, 643

305 : 1, 5, 61, 305

978 : 1, 2, 3, 6, 163, 326, 489, 978

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,677,643,305,978, is 1.

Now, the common factors can be found like this.

804:2x 2x 3x 67

677:677

643:643

305:5x 61

978:2x 3x 163

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 104398530224760/(1x6)

LCM = 104398530224760/6

LCM = 17399755037460

Thus, we can understand that the LCM of 804,677,643,305,978 is 17399755037460.

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

• LCM of 615, 917, 898, 684, 604
• LCM of 426, 174, 109, 362, 401
• LCM of 919, 369, 530, 864, 277
• LCM of 177, 147, 409, 259, 802
• LCM of 186, 695, 869, 571, 466

1. What is the LCM of 804, 677, 643, 305, 978?

Answer: LCM of 804, 677, 643, 305, 978 is 17399755037460.

2. How to calculate the LCM of 804, 677, 643, 305, 978?

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 804, 677, 643, 305, 978.

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}.