Given numbers are 229,442,900,924

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

The LCM of 229,442,900,924 is 3507203700.

Find LCM of 229,442,900,924 with Prime Factorization

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

2 x 2 x 3 x 229 x 221 x 75 x 77 = 3507203700

Therefore, the lowest common multiple of 229,442,900,924 is 3507203700.

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.

229 x 442 x 900 x 924 = 84172888800

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.

229 : 1, 229

442 : 1, 2, 13, 17, 26, 34, 221, 442

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,442,900,924, is 1.

Now, the common factors can be found like this.

229:229

442:2x 13x 17

900:2x 2x 3x 3x 5x 5

924:2x 2x 3x 7x 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 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 84172888800/(1x24)

LCM = 84172888800/24

LCM = 3507203700

Thus, we can understand that the LCM of 229,442,900,924 is 3507203700.

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

• LCM of 385, 854, 287, 222
• LCM of 137, 906, 760, 871
• LCM of 218, 892, 771, 886
• LCM of 154, 834, 491, 803
• LCM of 329, 859, 498, 909

1. What is the LCM of 229, 442, 900, 924?

Answer: LCM of 229, 442, 900, 924 is 3507203700.

2. How to calculate the LCM of 229, 442, 900, 924?

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 229, 442, 900, 924.

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}.