Given numbers are 152,87,493

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

The LCM of 152,87,493 is 224808.

Find LCM of 152,87,493 with Prime Factorization

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

29 x 152 x 3 x 17 = 224808

Therefore, the lowest common multiple of 152,87,493 is 224808.

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 87 x 493 = 6519432

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

87 : 1, 3, 29, 87

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,87,493, is 1.

Now, the common factors can be found like this.

152:2x 2x 2x 19

87:3x 29

493:17x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

29 = 29

Therefore, the value for common factors is 29.

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 = 6519432/(1x29)

LCM = 6519432/29

LCM = 224808

Thus, we can understand that the LCM of 152,87,493 is 224808.

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

• LCM of 246, 52, 665
• LCM of 100, 76, 224
• LCM of 718, 91, 460
• LCM of 538, 84, 300
• LCM of 148, 70, 946

1. What is the LCM of 152, 87, 493?

Answer: LCM of 152, 87, 493 is 224808.

2. How to calculate the LCM of 152, 87, 493?

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, 87, 493.

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}.