Given numbers are 905,251,924,990

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

The LCM of 905,251,924,990 is 629673660.

Find LCM of 905,251,924,990 with Prime Factorization

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

2 x 3 x 5 x 11 x 181 x 251 x 14 x 3 = 629673660

Therefore, the lowest common multiple of 905,251,924,990 is 629673660.

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.

905 x 251 x 924 x 990 = 207792307800

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.

905 : 1, 5, 181, 905

251 : 1, 251

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

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,251,924,990, is 1.

Now, the common factors can be found like this.

905:5x 181

251:251

924:2x 2x 3x 7x 11

990:2x 3x 3x 5x 11

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

2x 3x 5x 11 = 330

Therefore, the value for common factors is 330.

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 = 207792307800/(1x330)

LCM = 207792307800/330

LCM = 629673660

Thus, we can understand that the LCM of 905,251,924,990 is 629673660.

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

• LCM of 181, 122, 236, 367
• LCM of 327, 963, 738, 287
• LCM of 660, 449, 459, 602
• LCM of 904, 413, 100, 559
• LCM of 123, 367, 548, 978

1. What is the LCM of 905, 251, 924, 990?

Answer: LCM of 905, 251, 924, 990 is 629673660.

2. How to calculate the LCM of 905, 251, 924, 990?

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 905, 251, 924, 990.

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}.