Given numbers are 450,708,529,347,390

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

The LCM of 450,708,529,347,390 is 126713538900.

Find LCM of 450,708,529,347,390 with Prime Factorization

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

2 x 3 x 5 x 15 x 118 x 529 x 347 x 13 = 126713538900

Therefore, the lowest common multiple of 450,708,529,347,390 is 126713538900.

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 708 x 529 x 347 x 390 = 22808437002000

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

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

529 : 1, 23, 529

347 : 1, 347

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,708,529,347,390, is 1.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

708:2x 2x 3x 59

529:23x 23

347:347

390:2x 3x 5x 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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 22808437002000/(1x180)

LCM = 22808437002000/180

LCM = 126713538900

Thus, we can understand that the LCM of 450,708,529,347,390 is 126713538900.

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

• LCM of 273, 273, 798, 610, 875
• LCM of 319, 590, 307, 275, 165
• LCM of 822, 544, 248, 451, 603
• LCM of 161, 977, 205, 554, 426
• LCM of 766, 188, 712, 458, 594

1. What is the LCM of 450, 708, 529, 347, 390?

Answer: LCM of 450, 708, 529, 347, 390 is 126713538900.

2. How to calculate the LCM of 450, 708, 529, 347, 390?

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, 708, 529, 347, 390.

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}.