Given numbers are 420,635,795,801,820

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

The LCM of 420,635,795,801,820 is 30947387940.

Find LCM of 420,635,795,801,820 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 127 x 53 x 267 x 41 = 30947387940

Therefore, the lowest common multiple of 420,635,795,801,820 is 30947387940.

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 635 x 795 x 801 x 820 = 139263245730000

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

635 : 1, 5, 127, 635

795 : 1, 3, 5, 15, 53, 159, 265, 795

801 : 1, 3, 9, 89, 267, 801

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,635,795,801,820, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

635:5x 127

795:3x 5x 53

801:3x 3x 89

820:2x 2x 5x 41

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 3x 3x 5x 5x 5 = 4500

Therefore, the value for common factors is 4500.

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 = 139263245730000/(1x4500)

LCM = 139263245730000/4500

LCM = 30947387940

Thus, we can understand that the LCM of 420,635,795,801,820 is 30947387940.

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

• LCM of 181, 930, 791, 436, 152
• LCM of 333, 244, 891, 856, 366
• LCM of 186, 208, 558, 240, 890
• LCM of 192, 114, 734, 504, 506
• LCM of 908, 468, 848, 130, 251

1. What is the LCM of 420, 635, 795, 801, 820?

Answer: LCM of 420, 635, 795, 801, 820 is 30947387940.

2. How to calculate the LCM of 420, 635, 795, 801, 820?

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, 635, 795, 801, 820.

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}.