Given numbers are 924,638,966,138

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

The LCM of 924,638,966,138 is 616308.

Find LCM of 924,638,966,138 with Prime Factorization

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

2 x 3 x 7 x 11 x 23 x 2 x 29 x 1 x 1 = 616308

Therefore, the lowest common multiple of 924,638,966,138 is 616308.

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.

924 x 638 x 966 x 138 = 78586665696

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

638 : 1, 2, 11, 22, 29, 58, 319, 638

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,638,966,138, is 2.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

638:2x 11x 29

966:2x 3x 7x 23

138:2x 3x 23

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 3x 3x 7x 11x 23 = 63756

Therefore, the value for common factors is 63756.

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 = 78586665696/(2x63756)

LCM = 78586665696/127512

LCM = 616308

Thus, we can understand that the LCM of 924,638,966,138 is 616308.

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

• LCM of 396, 135, 571, 781
• LCM of 467, 149, 444, 849
• LCM of 100, 941, 186, 429
• LCM of 456, 902, 730, 216
• LCM of 813, 622, 226, 751

1. What is the LCM of 924, 638, 966, 138?

Answer: LCM of 924, 638, 966, 138 is 616308.

2. How to calculate the LCM of 924, 638, 966, 138?

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 924, 638, 966, 138.

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}.