Given numbers are 283,638,560,402,348

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

The LCM of 283,638,560,402,348 is 10161579120.

Find LCM of 283,638,560,402,348 with Prime Factorization

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

2 x 2 x 3 x 29 x 283 x 11 x 140 x 67 x 1 = 10161579120

Therefore, the lowest common multiple of 283,638,560,402,348 is 10161579120.

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.

283 x 638 x 560 x 402 x 348 = 14144918135040

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.

283 : 1, 283

638 : 1, 2, 11, 22, 29, 58, 319, 638

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,638,560,402,348, is 1.

Now, the common factors can be found like this.

283:283

638:2x 11x 29

560:2x 2x 2x 2x 5x 7

402:2x 3x 67

348:2x 2x 3x 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 2x 2x 2x 3x 29 = 1392

Therefore, the value for common factors is 1392.

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 = 14144918135040/(1x1392)

LCM = 14144918135040/1392

LCM = 10161579120

Thus, we can understand that the LCM of 283,638,560,402,348 is 10161579120.

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

• LCM of 161, 807, 826, 681, 410
• LCM of 322, 206, 718, 854, 642
• LCM of 758, 675, 907, 692, 343
• LCM of 442, 201, 178, 654, 890
• LCM of 461, 190, 108, 234, 605

1. What is the LCM of 283, 638, 560, 402, 348?

Answer: LCM of 283, 638, 560, 402, 348 is 10161579120.

2. How to calculate the LCM of 283, 638, 560, 402, 348?

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 283, 638, 560, 402, 348.

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}.