Given numbers are 290,201,562,216

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

The LCM of 290,201,562,216 is 589661640.

Find LCM of 290,201,562,216 with Prime Factorization

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

2 x 3 x 145 x 67 x 281 x 36 = 589661640

Therefore, the lowest common multiple of 290,201,562,216 is 589661640.

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.

290 x 201 x 562 x 216 = 7075939680

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

201 : 1, 3, 67, 201

562 : 1, 2, 281, 562

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,201,562,216, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

201:3x 67

562:2x 281

216:2x 2x 2x 3x 3x 3

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 = 7075939680/(1x12)

LCM = 7075939680/12

LCM = 589661640

Thus, we can understand that the LCM of 290,201,562,216 is 589661640.

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

• LCM of 773, 339, 918, 178
• LCM of 719, 369, 484, 726
• LCM of 422, 977, 720, 714
• LCM of 232, 879, 564, 399
• LCM of 191, 867, 769, 868

1. What is the LCM of 290, 201, 562, 216?

Answer: LCM of 290, 201, 562, 216 is 589661640.

2. How to calculate the LCM of 290, 201, 562, 216?

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 290, 201, 562, 216.

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}.