Given numbers are 464,281,395,742,869

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

The LCM of 464,281,395,742,869 is 210178356080.

Find LCM of 464,281,395,742,869 with Prime Factorization

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

2 x 79 x 232 x 281 x 5 x 371 x 11 = 210178356080

Therefore, the lowest common multiple of 464,281,395,742,869 is 210178356080.

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 281 x 395 x 742 x 869 = 33208180260640

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

281 : 1, 281

395 : 1, 5, 79, 395

742 : 1, 2, 7, 14, 53, 106, 371, 742

869 : 1, 11, 79, 869

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,281,395,742,869, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

281:281

395:5x 79

742:2x 7x 53

869:11x 79

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 79 = 158

Therefore, the value for common factors is 158.

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 = 33208180260640/(1x158)

LCM = 33208180260640/158

LCM = 210178356080

Thus, we can understand that the LCM of 464,281,395,742,869 is 210178356080.

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

• LCM of 946, 657, 413, 669, 485
• LCM of 503, 805, 442, 869, 844
• LCM of 645, 364, 835, 910, 850
• LCM of 681, 259, 470, 682, 928
• LCM of 499, 289, 897, 479, 864

1. What is the LCM of 464, 281, 395, 742, 869?

Answer: LCM of 464, 281, 395, 742, 869 is 210178356080.

2. How to calculate the LCM of 464, 281, 395, 742, 869?

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, 281, 395, 742, 869.

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}.