Given numbers are 924,203,893,380,600

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

The LCM of 924,203,893,380,600 is 1196441400.

Find LCM of 924,203,893,380,600 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 19 x 11 x 29 x 47 x 1 x 10 = 1196441400

Therefore, the lowest common multiple of 924,203,893,380,600 is 1196441400.

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 203 x 893 x 380 x 600 = 38190409488000

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

203 : 1, 7, 29, 203

893 : 1, 19, 47, 893

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,203,893,380,600, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

203:7x 29

893:19x 47

380:2x 2x 5x 19

600:2x 2x 2x 3x 5x 5

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 2x 2x 3x 5x 7x 19 = 31920

Therefore, the value for common factors is 31920.

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 = 38190409488000/(1x31920)

LCM = 38190409488000/31920

LCM = 1196441400

Thus, we can understand that the LCM of 924,203,893,380,600 is 1196441400.

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

• LCM of 307, 630, 784, 195, 633
• LCM of 530, 554, 530, 905, 417
• LCM of 654, 793, 474, 289, 387
• LCM of 641, 798, 864, 312, 432
• LCM of 671, 403, 333, 988, 217

1. What is the LCM of 924, 203, 893, 380, 600?

Answer: LCM of 924, 203, 893, 380, 600 is 1196441400.

2. How to calculate the LCM of 924, 203, 893, 380, 600?

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, 203, 893, 380, 600.

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}.