Given numbers are 464,728,776,261,729

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

The LCM of 464,728,776,261,729 is 2985785712.

Find LCM of 464,728,776,261,729 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 29 x 2 x 91 x 97 x 1 x 81 = 2985785712

Therefore, the lowest common multiple of 464,728,776,261,729 is 2985785712.

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.

464 x 728 x 776 x 261 x 729 = 49874564533248

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.

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

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

776 : 1, 2, 4, 8, 97, 194, 388, 776

261 : 1, 3, 9, 29, 87, 261

729 : 1, 3, 9, 27, 81, 243, 729

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,728,776,261,729, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

728:2x 2x 2x 7x 13

776:2x 2x 2x 97

261:3x 3x 29

729:3x 3x 3x 3x 3x 3

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 3x 3x 29 = 16704

Therefore, the value for common factors is 16704.

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 = 49874564533248/(1x16704)

LCM = 49874564533248/16704

LCM = 2985785712

Thus, we can understand that the LCM of 464,728,776,261,729 is 2985785712.

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

• LCM of 548, 111, 764, 118, 917
• LCM of 615, 845, 261, 142, 961
• LCM of 171, 152, 677, 113, 839
• LCM of 663, 339, 398, 289, 490
• LCM of 345, 491, 970, 294, 250

1. What is the LCM of 464, 728, 776, 261, 729?

Answer: LCM of 464, 728, 776, 261, 729 is 2985785712.

2. How to calculate the LCM of 464, 728, 776, 261, 729?

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 464, 728, 776, 261, 729.

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}.