Given numbers are 902,346,624,450

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

The LCM of 902,346,624,450 is 3651476400.

Find LCM of 902,346,624,450 with Prime Factorization

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

2 x 3 x 451 x 173 x 104 x 75 = 3651476400

Therefore, the lowest common multiple of 902,346,624,450 is 3651476400.

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.

902 x 346 x 624 x 450 = 87635433600

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

346 : 1, 2, 173, 346

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,346,624,450, is 2.

Now, the common factors can be found like this.

902:2x 11x 41

346:2x 173

624:2x 2x 2x 2x 3x 13

450:2x 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 3 = 12

Therefore, the value for common factors is 12.

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 = 87635433600/(2x12)

LCM = 87635433600/24

LCM = 3651476400

Thus, we can understand that the LCM of 902,346,624,450 is 3651476400.

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

• LCM of 451, 961, 268, 791
• LCM of 736, 350, 629, 460
• LCM of 367, 423, 905, 833
• LCM of 515, 721, 243, 337
• LCM of 297, 772, 277, 200

1. What is the LCM of 902, 346, 624, 450?

Answer: LCM of 902, 346, 624, 450 is 3651476400.

2. How to calculate the LCM of 902, 346, 624, 450?

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 902, 346, 624, 450.

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}.