Given numbers are 152,493,475,214

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

The LCM of 152,493,475,214 is 200453800.

Find LCM of 152,493,475,214 with Prime Factorization

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

2 x 19 x 4 x 493 x 25 x 107 = 200453800

Therefore, the lowest common multiple of 152,493,475,214 is 200453800.

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.

152 x 493 x 475 x 214 = 7617244400

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.

152 : 1, 2, 4, 8, 19, 38, 76, 152

493 : 1, 17, 29, 493

475 : 1, 5, 19, 25, 95, 475

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,493,475,214, is 1.

Now, the common factors can be found like this.

152:2x 2x 2x 19

493:17x 29

475:5x 5x 19

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 19 = 38

Therefore, the value for common factors is 38.

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 = 7617244400/(1x38)

LCM = 7617244400/38

LCM = 200453800

Thus, we can understand that the LCM of 152,493,475,214 is 200453800.

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

• LCM of 556, 724, 192, 642
• LCM of 806, 823, 944, 398
• LCM of 824, 861, 697, 411
• LCM of 812, 794, 239, 267
• LCM of 368, 484, 912, 748

1. What is the LCM of 152, 493, 475, 214?

Answer: LCM of 152, 493, 475, 214 is 200453800.

2. How to calculate the LCM of 152, 493, 475, 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 152, 493, 475, 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}.