Given numbers are 901,884,468,460,497

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

The LCM of 901,884,468,460,497 is 24100434540.

Find LCM of 901,884,468,460,497 with Prime Factorization

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

2 x 2 x 13 x 17 x 53 x 1 x 9 x 115 x 497 = 24100434540

Therefore, the lowest common multiple of 901,884,468,460,497 is 24100434540.

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.

901 x 884 x 468 x 460 x 497 = 85219136533440

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.

901 : 1, 17, 53, 901

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,884,468,460,497, is 1.

Now, the common factors can be found like this.

901:17x 53

884:2x 2x 13x 17

468:2x 2x 3x 3x 13

460:2x 2x 5x 23

497:7x 71

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 13x 17 = 3536

Therefore, the value for common factors is 3536.

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 = 85219136533440/(1x3536)

LCM = 85219136533440/3536

LCM = 24100434540

Thus, we can understand that the LCM of 901,884,468,460,497 is 24100434540.

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

• LCM of 899, 602, 369, 698, 964
• LCM of 604, 183, 776, 571, 690
• LCM of 287, 122, 137, 737, 986
• LCM of 460, 287, 424, 268, 456
• LCM of 968, 484, 112, 166, 898

1. What is the LCM of 901, 884, 468, 460, 497?

Answer: LCM of 901, 884, 468, 460, 497 is 24100434540.

2. How to calculate the LCM of 901, 884, 468, 460, 497?

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 901, 884, 468, 460, 497.

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}.