Given numbers are 966,974,508,197,754

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

The LCM of 966,974,508,197,754 is 8874571252092.

Find LCM of 966,974,508,197,754 with Prime Factorization

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

2 x 483 x 487 x 254 x 197 x 377 = 8874571252092

Therefore, the lowest common multiple of 966,974,508,197,754 is 8874571252092.

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.

966 x 974 x 508 x 197 x 754 = 70996570016736

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.

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

974 : 1, 2, 487, 974

508 : 1, 2, 4, 127, 254, 508

197 : 1, 197

754 : 1, 2, 13, 26, 29, 58, 377, 754

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,974,508,197,754, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

974:2x 487

508:2x 2x 127

197:197

754:2x 13x 29

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 2 = 8

Therefore, the value for common factors is 8.

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 = 70996570016736/(1x8)

LCM = 70996570016736/8

LCM = 8874571252092

Thus, we can understand that the LCM of 966,974,508,197,754 is 8874571252092.

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

• LCM of 977, 407, 806, 287, 180
• LCM of 621, 735, 709, 970, 167
• LCM of 590, 143, 487, 103, 231
• LCM of 563, 611, 933, 834, 541
• LCM of 679, 102, 325, 694, 519

1. What is the LCM of 966, 974, 508, 197, 754?

Answer: LCM of 966, 974, 508, 197, 754 is 8874571252092.

2. How to calculate the LCM of 966, 974, 508, 197, 754?

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 966, 974, 508, 197, 754.

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}.