Given numbers are 864,942,464,459,721

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

The LCM of 864,942,464,459,721 is 48216488544.

Find LCM of 864,942,464,459,721 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 3 x 2 x 157 x 29 x 17 x 721 = 48216488544

Therefore, the lowest common multiple of 864,942,464,459,721 is 48216488544.

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.

864 x 942 x 464 x 459 x 721 = 124977138306048

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.

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

942 : 1, 2, 3, 6, 157, 314, 471, 942

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

459 : 1, 3, 9, 17, 27, 51, 153, 459

721 : 1, 7, 103, 721

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,942,464,459,721, is 1.

Now, the common factors can be found like this.

864:2x 2x 2x 2x 2x 3x 3x 3

942:2x 3x 157

464:2x 2x 2x 2x 29

459:3x 3x 3x 17

721:7x 103

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 3x 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 124977138306048/(1x2592)

LCM = 124977138306048/2592

LCM = 48216488544

Thus, we can understand that the LCM of 864,942,464,459,721 is 48216488544.

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

• LCM of 435, 774, 689, 880, 410
• LCM of 919, 260, 809, 975, 871
• LCM of 397, 830, 577, 315, 278
• LCM of 486, 746, 784, 179, 174
• LCM of 838, 989, 578, 356, 384

1. What is the LCM of 864, 942, 464, 459, 721?

Answer: LCM of 864, 942, 464, 459, 721 is 48216488544.

2. How to calculate the LCM of 864, 942, 464, 459, 721?

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 864, 942, 464, 459, 721.

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}.