Given numbers are 749,460,450,419,730

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

The LCM of 749,460,450,419,730 is 474230024100.

Find LCM of 749,460,450,419,730 with Prime Factorization

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

2 x 5 x 749 x 46 x 45 x 419 x 73 = 474230024100

Therefore, the lowest common multiple of 749,460,450,419,730 is 474230024100.

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.

749 x 460 x 450 x 419 x 730 = 47423002410000

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.

749 : 1, 7, 107, 749

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

419 : 1, 419

730 : 1, 2, 5, 10, 73, 146, 365, 730

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,460,450,419,730, is 1.

Now, the common factors can be found like this.

749:7x 107

460:2x 2x 5x 23

450:2x 3x 3x 5x 5

419:419

730:2x 5x 73

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 47423002410000/(1x100)

LCM = 47423002410000/100

LCM = 474230024100

Thus, we can understand that the LCM of 749,460,450,419,730 is 474230024100.

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

• LCM of 698, 792, 442, 280, 238
• LCM of 843, 160, 443, 751, 414
• LCM of 866, 333, 111, 217, 228
• LCM of 622, 519, 581, 386, 302
• LCM of 151, 895, 593, 910, 380

1. What is the LCM of 749, 460, 450, 419, 730?

Answer: LCM of 749, 460, 450, 419, 730 is 474230024100.

2. How to calculate the LCM of 749, 460, 450, 419, 730?

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 749, 460, 450, 419, 730.

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}.