Given numbers are 392,600,509,214

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

The LCM of 392,600,509,214 is 1601212200.

Find LCM of 392,600,509,214 with Prime Factorization

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

2 x 2 x 2 x 49 x 75 x 509 x 107 = 1601212200

Therefore, the lowest common multiple of 392,600,509,214 is 1601212200.

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.

392 x 600 x 509 x 214 = 25619395200

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

509 : 1, 509

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,600,509,214, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

600:2x 2x 2x 3x 5x 5

509:509

214:2x 107

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 2 = 16

Therefore, the value for common factors is 16.

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 = 25619395200/(1x16)

LCM = 25619395200/16

LCM = 1601212200

Thus, we can understand that the LCM of 392,600,509,214 is 1601212200.

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

• LCM of 911, 704, 309, 392
• LCM of 510, 610, 117, 832
• LCM of 457, 256, 686, 911
• LCM of 440, 867, 526, 876
• LCM of 675, 783, 840, 451

1. What is the LCM of 392, 600, 509, 214?

Answer: LCM of 392, 600, 509, 214 is 1601212200.

2. How to calculate the LCM of 392, 600, 509, 214?

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 392, 600, 509, 214.

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}.