Given numbers are 420,772,985,415,900

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

The LCM of 420,772,985,415,900 is 19881180900.

Find LCM of 420,772,985,415,900 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 193 x 197 x 83 x 15 = 19881180900

Therefore, the lowest common multiple of 420,772,985,415,900 is 19881180900.

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 772 x 985 x 415 x 900 = 119287085400000

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

772 : 1, 2, 4, 193, 386, 772

985 : 1, 5, 197, 985

415 : 1, 5, 83, 415

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,772,985,415,900, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

772:2x 2x 193

985:5x 197

415:5x 83

900:2x 2x 3x 3x 5x 5

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 2x 3x 5x 5x 5 = 6000

Therefore, the value for common factors is 6000.

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 = 119287085400000/(1x6000)

LCM = 119287085400000/6000

LCM = 19881180900

Thus, we can understand that the LCM of 420,772,985,415,900 is 19881180900.

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

• LCM of 810, 258, 665, 810, 669
• LCM of 997, 430, 558, 538, 320
• LCM of 702, 720, 742, 921, 800
• LCM of 976, 149, 309, 194, 281
• LCM of 859, 932, 881, 675, 723

1. What is the LCM of 420, 772, 985, 415, 900?

Answer: LCM of 420, 772, 985, 415, 900 is 19881180900.

2. How to calculate the LCM of 420, 772, 985, 415, 900?

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, 772, 985, 415, 900.

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}.