Given numbers are 821,799,646,238,880

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

The LCM of 821,799,646,238,880 is 76775782160.

Find LCM of 821,799,646,238,880 with Prime Factorization

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

2 x 17 x 821 x 47 x 19 x 7 x 440 = 76775782160

Therefore, the lowest common multiple of 821,799,646,238,880 is 76775782160.

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.

821 x 799 x 646 x 238 x 880 = 88752804176960

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.

821 : 1, 821

799 : 1, 17, 47, 799

646 : 1, 2, 17, 19, 34, 38, 323, 646

238 : 1, 2, 7, 14, 17, 34, 119, 238

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,799,646,238,880, is 1.

Now, the common factors can be found like this.

821:821

799:17x 47

646:2x 17x 19

238:2x 7x 17

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

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 17x 17 = 1156

Therefore, the value for common factors is 1156.

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 = 88752804176960/(1x1156)

LCM = 88752804176960/1156

LCM = 76775782160

Thus, we can understand that the LCM of 821,799,646,238,880 is 76775782160.

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

• LCM of 222, 728, 451, 142, 117
• LCM of 886, 300, 127, 263, 820
• LCM of 231, 384, 428, 682, 256
• LCM of 142, 197, 490, 635, 141
• LCM of 606, 898, 746, 609, 990

1. What is the LCM of 821, 799, 646, 238, 880?

Answer: LCM of 821, 799, 646, 238, 880 is 76775782160.

2. How to calculate the LCM of 821, 799, 646, 238, 880?

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 821, 799, 646, 238, 880.

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}.