Given numbers are 402,422,175,920

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

The LCM of 402,422,175,920 is 1365634200.

Find LCM of 402,422,175,920 with Prime Factorization

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

2 x 5 x 201 x 211 x 35 x 92 = 1365634200

Therefore, the lowest common multiple of 402,422,175,920 is 1365634200.

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.

402 x 422 x 175 x 920 = 27312684000

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

422 : 1, 2, 211, 422

175 : 1, 5, 7, 25, 35, 175

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,422,175,920, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

422:2x 211

175:5x 5x 7

920:2x 2x 2x 5x 23

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 5 = 20

Therefore, the value for common factors is 20.

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 = 27312684000/(1x20)

LCM = 27312684000/20

LCM = 1365634200

Thus, we can understand that the LCM of 402,422,175,920 is 1365634200.

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

• LCM of 655, 323, 204, 579
• LCM of 567, 118, 827, 865
• LCM of 100, 988, 155, 497
• LCM of 403, 351, 402, 123
• LCM of 214, 560, 750, 956

1. What is the LCM of 402, 422, 175, 920?

Answer: LCM of 402, 422, 175, 920 is 1365634200.

2. How to calculate the LCM of 402, 422, 175, 920?

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 402, 422, 175, 920.

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}.