Given numbers are 282,201,219

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

The LCM of 282,201,219 is 1379262.

Find LCM of 282,201,219 with Prime Factorization

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

3 x 94 x 67 x 73 = 1379262

Therefore, the lowest common multiple of 282,201,219 is 1379262.

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.

282 x 201 x 219 = 12413358

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.

282 : 1, 2, 3, 6, 47, 94, 141, 282

201 : 1, 3, 67, 201

219 : 1, 3, 73, 219

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,201,219, is 3.

Now, the common factors can be found like this.

282:2x 3x 47

201:3x 67

219:3x 73

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

3 = 3

Therefore, the value for common factors is 3.

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 = 12413358/(3x3)

LCM = 12413358/9

LCM = 1379262

Thus, we can understand that the LCM of 282,201,219 is 1379262.

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

• LCM of 902, 167, 988
• LCM of 356, 567, 448
• LCM of 418, 236, 649
• LCM of 209, 704, 204
• LCM of 540, 266, 811

1. What is the LCM of 282, 201, 219?

Answer: LCM of 282, 201, 219 is 1379262.

2. How to calculate the LCM of 282, 201, 219?

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 282, 201, 219.

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}.