Given numbers are 473,509,896,900

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

The LCM of 473,509,896,900 is 48536611200.

Find LCM of 473,509,896,900 with Prime Factorization

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

2 x 2 x 473 x 509 x 224 x 225 = 48536611200

Therefore, the lowest common multiple of 473,509,896,900 is 48536611200.

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.

473 x 509 x 896 x 900 = 194146444800

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.

473 : 1, 11, 43, 473

509 : 1, 509

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

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 473,509,896,900, is 1.

Now, the common factors can be found like this.

473:11x 43

509:509

896:2x 2x 2x 2x 2x 2x 2x 7

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 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 = 194146444800/(1x4)

LCM = 194146444800/4

LCM = 48536611200

Thus, we can understand that the LCM of 473,509,896,900 is 48536611200.

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

• LCM of 343, 236, 322, 880
• LCM of 275, 967, 152, 579
• LCM of 465, 881, 277, 704
• LCM of 663, 584, 977, 468
• LCM of 901, 538, 682, 450

1. What is the LCM of 473, 509, 896, 900?

Answer: LCM of 473, 509, 896, 900 is 48536611200.

2. How to calculate the LCM of 473, 509, 896, 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 473, 509, 896, 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}.