Given numbers are 596,478,447,420

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

The LCM of 596,478,447,420 is 14956620.

Find LCM of 596,478,447,420 with Prime Factorization

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

2 x 2 x 3 x 149 x 1 x 239 x 1 x 35 = 14956620

Therefore, the lowest common multiple of 596,478,447,420 is 14956620.

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.

596 x 478 x 447 x 420 = 53484873120

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.

596 : 1, 2, 4, 149, 298, 596

478 : 1, 2, 239, 478

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,478,447,420, is 1.

Now, the common factors can be found like this.

596:2x 2x 149

478:2x 239

447:3x 149

420:2x 2x 3x 5x 7

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 3x 149 = 3576

Therefore, the value for common factors is 3576.

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 = 53484873120/(1x3576)

LCM = 53484873120/3576

LCM = 14956620

Thus, we can understand that the LCM of 596,478,447,420 is 14956620.

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

• LCM of 503, 985, 654, 714
• LCM of 139, 680, 345, 815
• LCM of 620, 714, 994, 121
• LCM of 324, 920, 191, 997
• LCM of 411, 152, 430, 597

1. What is the LCM of 596, 478, 447, 420?

Answer: LCM of 596, 478, 447, 420 is 14956620.

2. How to calculate the LCM of 596, 478, 447, 420?

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 596, 478, 447, 420.

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}.