Given numbers are 420,466,750,930,545

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

The LCM of 420,466,750,930,545 is 8266723500.

Find LCM of 420,466,750,930,545 with Prime Factorization

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

2 x 3 x 5 x 14 x 233 x 25 x 31 x 109 = 8266723500

Therefore, the lowest common multiple of 420,466,750,930,545 is 8266723500.

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.

420 x 466 x 750 x 930 x 545 = 74400511500000

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

466 : 1, 2, 233, 466

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

545 : 1, 5, 109, 545

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,466,750,930,545, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

466:2x 233

750:2x 3x 5x 5x 5

930:2x 3x 5x 31

545:5x 109

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 3x 3x 5x 5x 5 = 9000

Therefore, the value for common factors is 9000.

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 = 74400511500000/(1x9000)

LCM = 74400511500000/9000

LCM = 8266723500

Thus, we can understand that the LCM of 420,466,750,930,545 is 8266723500.

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

• LCM of 342, 390, 204, 106, 669
• LCM of 855, 565, 819, 229, 145
• LCM of 552, 201, 308, 414, 248
• LCM of 620, 461, 505, 840, 877
• LCM of 458, 663, 206, 723, 333

1. What is the LCM of 420, 466, 750, 930, 545?

Answer: LCM of 420, 466, 750, 930, 545 is 8266723500.

2. How to calculate the LCM of 420, 466, 750, 930, 545?

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 420, 466, 750, 930, 545.

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}.