Given numbers are 924,193,107,460

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

The LCM of 924,193,107,460 is 2194375260.

Find LCM of 924,193,107,460 with Prime Factorization

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

2 x 2 x 231 x 193 x 107 x 115 = 2194375260

Therefore, the lowest common multiple of 924,193,107,460 is 2194375260.

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 193 x 107 x 460 = 8777501040

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

193 : 1, 193

107 : 1, 107

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,193,107,460, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

193:193

107:107

460:2x 2x 5x 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 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 = 8777501040/(1x4)

LCM = 8777501040/4

LCM = 2194375260

Thus, we can understand that the LCM of 924,193,107,460 is 2194375260.

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

• LCM of 534, 560, 523, 725
• LCM of 862, 547, 764, 731
• LCM of 242, 870, 851, 346
• LCM of 311, 450, 493, 270
• LCM of 691, 907, 815, 854

1. What is the LCM of 924, 193, 107, 460?

Answer: LCM of 924, 193, 107, 460 is 2194375260.

2. How to calculate the LCM of 924, 193, 107, 460?

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, 193, 107, 460.

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}.