Given numbers are 290,422,497,464

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

The LCM of 290,422,497,464 is 243291440.

Find LCM of 290,422,497,464 with Prime Factorization

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

2 x 29 x 5 x 211 x 497 x 8 = 243291440

Therefore, the lowest common multiple of 290,422,497,464 is 243291440.

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 422 x 497 x 464 = 28221807040

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

422 : 1, 2, 211, 422

497 : 1, 7, 71, 497

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,422,497,464, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

422:2x 211

497:7x 71

464:2x 2x 2x 2x 29

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 29 = 116

Therefore, the value for common factors is 116.

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 = 28221807040/(1x116)

LCM = 28221807040/116

LCM = 243291440

Thus, we can understand that the LCM of 290,422,497,464 is 243291440.

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

• LCM of 608, 170, 363, 960
• LCM of 364, 144, 559, 405
• LCM of 467, 875, 420, 122
• LCM of 160, 439, 192, 908
• LCM of 649, 862, 343, 215

1. What is the LCM of 290, 422, 497, 464?

Answer: LCM of 290, 422, 497, 464 is 243291440.

2. How to calculate the LCM of 290, 422, 497, 464?

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, 422, 497, 464.

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}.