Given numbers are 290,150,346,397

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

The LCM of 290,150,346,397 is 298762350.

Find LCM of 290,150,346,397 with Prime Factorization

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

2 x 5 x 29 x 15 x 173 x 397 = 298762350

Therefore, the lowest common multiple of 290,150,346,397 is 298762350.

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 150 x 346 x 397 = 5975247000

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

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

346 : 1, 2, 173, 346

397 : 1, 397

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,150,346,397, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

150:2x 3x 5x 5

346:2x 173

397:397

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 5 = 20

Therefore, the value for common factors is 20.

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 = 5975247000/(1x20)

LCM = 5975247000/20

LCM = 298762350

Thus, we can understand that the LCM of 290,150,346,397 is 298762350.

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

• LCM of 546, 615, 740, 736
• LCM of 582, 456, 704, 631
• LCM of 960, 132, 992, 818
• LCM of 220, 788, 279, 972
• LCM of 695, 693, 301, 213

1. What is the LCM of 290, 150, 346, 397?

Answer: LCM of 290, 150, 346, 397 is 298762350.

2. How to calculate the LCM of 290, 150, 346, 397?

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, 150, 346, 397.

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}.