Given numbers are 900,353,668,299,208

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

The LCM of 900,353,668,299,208 is 63454856400.

Find LCM of 900,353,668,299,208 with Prime Factorization

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

2 x 2 x 13 x 225 x 353 x 167 x 23 x 4 = 63454856400

Therefore, the lowest common multiple of 900,353,668,299,208 is 63454856400.

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 353 x 668 x 299 x 208 = 13198610131200

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

353 : 1, 353

668 : 1, 2, 4, 167, 334, 668

299 : 1, 13, 23, 299

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,353,668,299,208, is 1.

Now, the common factors can be found like this.

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

353:353

668:2x 2x 167

299:13x 23

208:2x 2x 2x 2x 13

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 13 = 208

Therefore, the value for common factors is 208.

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 = 13198610131200/(1x208)

LCM = 13198610131200/208

LCM = 63454856400

Thus, we can understand that the LCM of 900,353,668,299,208 is 63454856400.

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

• LCM of 287, 256, 831, 599, 523
• LCM of 776, 385, 453, 374, 175
• LCM of 193, 870, 644, 697, 280
• LCM of 655, 729, 847, 548, 982
• LCM of 543, 722, 400, 699, 597

1. What is the LCM of 900, 353, 668, 299, 208?

Answer: LCM of 900, 353, 668, 299, 208 is 63454856400.

2. How to calculate the LCM of 900, 353, 668, 299, 208?

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, 353, 668, 299, 208.

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}.