Given numbers are 422,365,715,940,420

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

The LCM of 422,365,715,940,420 is 43479896460.

Find LCM of 422,365,715,940,420 with Prime Factorization

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

2 x 2 x 5 x 211 x 73 x 143 x 47 x 21 = 43479896460

Therefore, the lowest common multiple of 422,365,715,940,420 is 43479896460.

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.

422 x 365 x 715 x 940 x 420 = 43479896460000

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.

422 : 1, 2, 211, 422

365 : 1, 5, 73, 365

715 : 1, 5, 11, 13, 55, 65, 143, 715

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,365,715,940,420, is 1.

Now, the common factors can be found like this.

422:2x 211

365:5x 73

715:5x 11x 13

940:2x 2x 5x 47

420:2x 2x 3x 5x 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 5x 5x 5 = 1000

Therefore, the value for common factors is 1000.

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 = 43479896460000/(1x1000)

LCM = 43479896460000/1000

LCM = 43479896460

Thus, we can understand that the LCM of 422,365,715,940,420 is 43479896460.

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

• LCM of 247, 626, 897, 180, 386
• LCM of 400, 912, 325, 999, 177
• LCM of 940, 556, 774, 613, 866
• LCM of 135, 333, 701, 725, 629
• LCM of 298, 527, 719, 586, 208

1. What is the LCM of 422, 365, 715, 940, 420?

Answer: LCM of 422, 365, 715, 940, 420 is 43479896460.

2. How to calculate the LCM of 422, 365, 715, 940, 420?

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 422, 365, 715, 940, 420.

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}.