Given numbers are 224,402,391,551,319

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

The LCM of 224,402,391,551,319 is 106700171424.

Find LCM of 224,402,391,551,319 with Prime Factorization

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

2 x 29 x 112 x 201 x 391 x 19 x 11 = 106700171424

Therefore, the lowest common multiple of 224,402,391,551,319 is 106700171424.

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.

224 x 402 x 391 x 551 x 319 = 6188609942592

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.

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

402 : 1, 2, 3, 6, 67, 134, 201, 402

391 : 1, 17, 23, 391

551 : 1, 19, 29, 551

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,402,391,551,319, is 1.

Now, the common factors can be found like this.

224:2x 2x 2x 2x 2x 7

402:2x 3x 67

391:17x 23

551:19x 29

319:11x 29

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

2x 29 = 58

Therefore, the value for common factors is 58.

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 = 6188609942592/(1x58)

LCM = 6188609942592/58

LCM = 106700171424

Thus, we can understand that the LCM of 224,402,391,551,319 is 106700171424.

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

• LCM of 539, 907, 966, 957, 299
• LCM of 756, 445, 200, 310, 710
• LCM of 678, 692, 221, 351, 513
• LCM of 702, 718, 152, 785, 233
• LCM of 838, 458, 764, 243, 814

1. What is the LCM of 224, 402, 391, 551, 319?

Answer: LCM of 224, 402, 391, 551, 319 is 106700171424.

2. How to calculate the LCM of 224, 402, 391, 551, 319?

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 224, 402, 391, 551, 319.

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}.