Given numbers are 450,352,782,362,470

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

The LCM of 450,352,782,362,470 is 263437970400.

Find LCM of 450,352,782,362,470 with Prime Factorization

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

2 x 5 x 45 x 176 x 391 x 181 x 47 = 263437970400

Therefore, the lowest common multiple of 450,352,782,362,470 is 263437970400.

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.

450 x 352 x 782 x 362 x 470 = 21075037632000

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.

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

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

782 : 1, 2, 17, 23, 34, 46, 391, 782

362 : 1, 2, 181, 362

470 : 1, 2, 5, 10, 47, 94, 235, 470

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,352,782,362,470, is 2.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

352:2x 2x 2x 2x 2x 11

782:2x 17x 23

362:2x 181

470:2x 5x 47

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 5 = 40

Therefore, the value for common factors is 40.

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 = 21075037632000/(2x40)

LCM = 21075037632000/80

LCM = 263437970400

Thus, we can understand that the LCM of 450,352,782,362,470 is 263437970400.

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

• LCM of 498, 506, 540, 891, 807
• LCM of 877, 641, 705, 320, 667
• LCM of 359, 627, 984, 606, 778
• LCM of 574, 343, 709, 593, 778
• LCM of 465, 722, 639, 719, 646

1. What is the LCM of 450, 352, 782, 362, 470?

Answer: LCM of 450, 352, 782, 362, 470 is 263437970400.

2. How to calculate the LCM of 450, 352, 782, 362, 470?

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 450, 352, 782, 362, 470.

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}.