Given numbers are 738,408,281,572,900

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

The LCM of 738,408,281,572,900 is 50413591800.

Find LCM of 738,408,281,572,900 with Prime Factorization

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

2 x 2 x 3 x 3 x 41 x 34 x 281 x 143 x 25 = 50413591800

Therefore, the lowest common multiple of 738,408,281,572,900 is 50413591800.

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.

738 x 408 x 281 x 572 x 900 = 43557343315200

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

281 : 1, 281

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,408,281,572,900, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

408:2x 2x 2x 3x 17

281:281

572:2x 2x 11x 13

900:2x 2x 3x 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 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 43557343315200/(1x864)

LCM = 43557343315200/864

LCM = 50413591800

Thus, we can understand that the LCM of 738,408,281,572,900 is 50413591800.

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

• LCM of 408, 987, 368, 494, 186
• LCM of 285, 168, 341, 508, 820
• LCM of 441, 517, 246, 955, 811
• LCM of 395, 796, 113, 808, 353
• LCM of 757, 923, 348, 941, 919

1. What is the LCM of 738, 408, 281, 572, 900?

Answer: LCM of 738, 408, 281, 572, 900 is 50413591800.

2. How to calculate the LCM of 738, 408, 281, 572, 900?

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 738, 408, 281, 572, 900.

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}.