Given numbers are 201,509,112,492

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

The LCM of 201,509,112,492 is 469802928.

Find LCM of 201,509,112,492 with Prime Factorization

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

2 x 2 x 3 x 67 x 509 x 28 x 41 = 469802928

Therefore, the lowest common multiple of 201,509,112,492 is 469802928.

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.

201 x 509 x 112 x 492 = 5637635136

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.

201 : 1, 3, 67, 201

509 : 1, 509

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,509,112,492, is 1.

Now, the common factors can be found like this.

201:3x 67

509:509

112:2x 2x 2x 2x 7

492:2x 2x 3x 41

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 3 = 12

Therefore, the value for common factors is 12.

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 = 5637635136/(1x12)

LCM = 5637635136/12

LCM = 469802928

Thus, we can understand that the LCM of 201,509,112,492 is 469802928.

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

• LCM of 760, 974, 697, 100
• LCM of 699, 267, 389, 349
• LCM of 841, 240, 741, 496
• LCM of 222, 324, 855, 355
• LCM of 811, 544, 732, 989

1. What is the LCM of 201, 509, 112, 492?

Answer: LCM of 201, 509, 112, 492 is 469802928.

2. How to calculate the LCM of 201, 509, 112, 492?

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 201, 509, 112, 492.

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}.