Given numbers are 900,566,508,118,688

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

The LCM of 900,566,508,118,688 is 328256341200.

Find LCM of 900,566,508,118,688 with Prime Factorization

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

2 x 2 x 225 x 283 x 127 x 59 x 172 = 328256341200

Therefore, the lowest common multiple of 900,566,508,118,688 is 328256341200.

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.

900 x 566 x 508 x 118 x 688 = 21008405836800

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.

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

566 : 1, 2, 283, 566

508 : 1, 2, 4, 127, 254, 508

118 : 1, 2, 59, 118

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,566,508,118,688, is 2.

Now, the common factors can be found like this.

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

566:2x 283

508:2x 2x 127

118:2x 59

688:2x 2x 2x 2x 43

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 2 = 32

Therefore, the value for common factors is 32.

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 = 21008405836800/(2x32)

LCM = 21008405836800/64

LCM = 328256341200

Thus, we can understand that the LCM of 900,566,508,118,688 is 328256341200.

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

• LCM of 118, 412, 425, 808, 677
• LCM of 278, 150, 485, 216, 271
• LCM of 105, 583, 236, 491, 844
• LCM of 931, 252, 763, 510, 616
• LCM of 944, 847, 300, 806, 221

1. What is the LCM of 900, 566, 508, 118, 688?

Answer: LCM of 900, 566, 508, 118, 688 is 328256341200.

2. How to calculate the LCM of 900, 566, 508, 118, 688?

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 900, 566, 508, 118, 688.

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}.