Given numbers are 296,447,420,762,508

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

The LCM of 296,447,420,762,508 is 588126840.

Find LCM of 296,447,420,762,508 with Prime Factorization

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

2 x 2 x 3 x 127 x 74 x 149 x 35 x 1 x 1 = 588126840

Therefore, the lowest common multiple of 296,447,420,762,508 is 588126840.

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.

296 x 447 x 420 x 762 x 508 = 21511327299840

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.

296 : 1, 2, 4, 8, 37, 74, 148, 296

447 : 1, 3, 149, 447

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

762 : 1, 2, 3, 6, 127, 254, 381, 762

508 : 1, 2, 4, 127, 254, 508

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,447,420,762,508, is 1.

Now, the common factors can be found like this.

296:2x 2x 2x 37

447:3x 149

420:2x 2x 3x 5x 7

762:2x 3x 127

508:2x 2x 127

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 3x 3x 127 = 36576

Therefore, the value for common factors is 36576.

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 = 21511327299840/(1x36576)

LCM = 21511327299840/36576

LCM = 588126840

Thus, we can understand that the LCM of 296,447,420,762,508 is 588126840.

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

• LCM of 216, 374, 454, 904, 918
• LCM of 811, 359, 811, 467, 333
• LCM of 117, 458, 821, 940, 941
• LCM of 621, 860, 775, 341, 432
• LCM of 224, 642, 134, 227, 992

1. What is the LCM of 296, 447, 420, 762, 508?

Answer: LCM of 296, 447, 420, 762, 508 is 588126840.

2. How to calculate the LCM of 296, 447, 420, 762, 508?

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 296, 447, 420, 762, 508.

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}.