Given numbers are 464,544,253,286

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

The LCM of 464,544,253,286 is 51887264.

Find LCM of 464,544,253,286 with Prime Factorization

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

2 x 2 x 2 x 2 x 11 x 29 x 34 x 23 x 13 = 51887264

Therefore, the lowest common multiple of 464,544,253,286 is 51887264.

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 544 x 253 x 286 = 18264316928

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

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

253 : 1, 11, 23, 253

286 : 1, 2, 11, 13, 22, 26, 143, 286

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,544,253,286, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

544:2x 2x 2x 2x 2x 17

253:11x 23

286:2x 11x 13

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 11 = 352

Therefore, the value for common factors is 352.

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 = 18264316928/(1x352)

LCM = 18264316928/352

LCM = 51887264

Thus, we can understand that the LCM of 464,544,253,286 is 51887264.

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

• LCM of 982, 968, 211, 945
• LCM of 870, 920, 402, 946
• LCM of 208, 943, 707, 858
• LCM of 604, 241, 143, 861
• LCM of 859, 280, 729, 859

1. What is the LCM of 464, 544, 253, 286?

Answer: LCM of 464, 544, 253, 286 is 51887264.

2. How to calculate the LCM of 464, 544, 253, 286?

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, 544, 253, 286.

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}.