Given numbers are 6,974,260,766

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

The LCM of 6,974,260,766 is 145486380.

Find LCM of 6,974,260,766 with Prime Factorization

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

2 x 3 x 487 x 130 x 383 = 145486380

Therefore, the lowest common multiple of 6,974,260,766 is 145486380.

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.

6 x 974 x 260 x 766 = 1163891040

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.

6 : 1, 2, 3, 6

974 : 1, 2, 487, 974

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

766 : 1, 2, 383, 766

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6,974,260,766, is 2.

Now, the common factors can be found like this.

6:2x 3

974:2x 487

260:2x 2x 5x 13

766:2x 383

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 1163891040/(2x4)

LCM = 1163891040/8

LCM = 145486380

Thus, we can understand that the LCM of 6,974,260,766 is 145486380.

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

• LCM of 7, 673, 986, 543
• LCM of 2, 879, 182, 851
• LCM of 2, 106, 317, 552
• LCM of 5, 262, 930, 893
• LCM of 1, 158, 215, 342

1. What is the LCM of 6, 974, 260, 766?

Answer: LCM of 6, 974, 260, 766 is 145486380.

2. How to calculate the LCM of 6, 974, 260, 766?

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 6, 974, 260, 766.

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}.