Given numbers are 440,880,797,924,214

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

The LCM of 440,880,797,924,214 is 1575955920.

Find LCM of 440,880,797,924,214 with Prime Factorization

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

2 x 2 x 2 x 5 x 11 x 1 x 2 x 797 x 21 x 107 = 1575955920

Therefore, the lowest common multiple of 440,880,797,924,214 is 1575955920.

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.

440 x 880 x 797 x 924 x 214 = 61021013222400

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.

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

797 : 1, 797

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,880,797,924,214, is 1.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

880:2x 2x 2x 2x 5x 11

797:797

924:2x 2x 3x 7x 11

214:2x 107

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 2x 2x 5x 11x 11 = 38720

Therefore, the value for common factors is 38720.

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 = 61021013222400/(1x38720)

LCM = 61021013222400/38720

LCM = 1575955920

Thus, we can understand that the LCM of 440,880,797,924,214 is 1575955920.

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

• LCM of 390, 742, 998, 627, 734
• LCM of 178, 130, 634, 417, 401
• LCM of 290, 894, 197, 395, 780
• LCM of 431, 476, 381, 669, 436
• LCM of 836, 964, 290, 410, 738

1. What is the LCM of 440, 880, 797, 924, 214?

Answer: LCM of 440, 880, 797, 924, 214 is 1575955920.

2. How to calculate the LCM of 440, 880, 797, 924, 214?

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 440, 880, 797, 924, 214.

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}.