Given numbers are 420,386,416,901

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

The LCM of 420,386,416,901 is 7595646240.

Find LCM of 420,386,416,901 with Prime Factorization

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

2 x 2 x 105 x 193 x 104 x 901 = 7595646240

Therefore, the lowest common multiple of 420,386,416,901 is 7595646240.

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 386 x 416 x 901 = 60765169920

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

386 : 1, 2, 193, 386

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

901 : 1, 17, 53, 901

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,386,416,901, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

386:2x 193

416:2x 2x 2x 2x 2x 13

901:17x 53

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 2 = 8

Therefore, the value for common factors is 8.

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 = 60765169920/(1x8)

LCM = 60765169920/8

LCM = 7595646240

Thus, we can understand that the LCM of 420,386,416,901 is 7595646240.

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

• LCM of 120, 480, 420, 950
• LCM of 659, 195, 342, 359
• LCM of 769, 258, 456, 776
• LCM of 517, 911, 537, 504
• LCM of 400, 404, 783, 807

1. What is the LCM of 420, 386, 416, 901?

Answer: LCM of 420, 386, 416, 901 is 7595646240.

2. How to calculate the LCM of 420, 386, 416, 901?

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, 386, 416, 901.

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}.