Given numbers are 420,710,894,450,686

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

The LCM of 420,710,894,450,686 is 3265737300.

Find LCM of 420,710,894,450,686 with Prime Factorization

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

2 x 3 x 5 x 7 x 2 x 71 x 149 x 15 x 49 = 3265737300

Therefore, the lowest common multiple of 420,710,894,450,686 is 3265737300.

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 710 x 894 x 450 x 686 = 82296579960000

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

710 : 1, 2, 5, 10, 71, 142, 355, 710

894 : 1, 2, 3, 6, 149, 298, 447, 894

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

686 : 1, 2, 7, 14, 49, 98, 343, 686

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,710,894,450,686, is 2.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

710:2x 5x 71

894:2x 3x 149

450:2x 3x 3x 5x 5

686:2x 7x 7x 7

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 7 = 12600

Therefore, the value for common factors is 12600.

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 = 82296579960000/(2x12600)

LCM = 82296579960000/25200

LCM = 3265737300

Thus, we can understand that the LCM of 420,710,894,450,686 is 3265737300.

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

• LCM of 375, 783, 927, 615, 602
• LCM of 245, 998, 946, 323, 649
• LCM of 551, 188, 453, 536, 891
• LCM of 794, 612, 623, 947, 837
• LCM of 793, 313, 158, 860, 950

1. What is the LCM of 420, 710, 894, 450, 686?

Answer: LCM of 420, 710, 894, 450, 686 is 3265737300.

2. How to calculate the LCM of 420, 710, 894, 450, 686?

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, 710, 894, 450, 686.

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}.