Given numbers are 596,120,852,420

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

The LCM of 596,120,852,420 is 8886360.

Find LCM of 596,120,852,420 with Prime Factorization

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

2 x 2 x 3 x 5 x 149 x 2 x 71 x 7 = 8886360

Therefore, the lowest common multiple of 596,120,852,420 is 8886360.

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 120 x 852 x 420 = 25592716800

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

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,120,852,420, is 4.

Now, the common factors can be found like this.

596:2x 2x 149

120:2x 2x 2x 3x 5

852:2x 2x 3x 71

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 2x 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 25592716800/(4x720)

LCM = 25592716800/2880

LCM = 8886360

Thus, we can understand that the LCM of 596,120,852,420 is 8886360.

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

• LCM of 953, 907, 848, 504
• LCM of 695, 299, 667, 211
• LCM of 465, 597, 132, 601
• LCM of 690, 401, 253, 916
• LCM of 562, 482, 823, 116

1. What is the LCM of 596, 120, 852, 420?

Answer: LCM of 596, 120, 852, 420 is 8886360.

2. How to calculate the LCM of 596, 120, 852, 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, 120, 852, 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}.