Given numbers are 990,128,307,170,357

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

The LCM of 990,128,307,170,357 is 2314730880.

Find LCM of 990,128,307,170,357 with Prime Factorization

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

2 x 3 x 5 x 17 x 33 x 64 x 307 x 1 x 7 = 2314730880

Therefore, the lowest common multiple of 990,128,307,170,357 is 2314730880.

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.

990 x 128 x 307 x 170 x 357 = 2361025497600

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.

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

128 : 1, 2, 4, 8, 16, 32, 64, 128

307 : 1, 307

170 : 1, 2, 5, 10, 17, 34, 85, 170

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,128,307,170,357, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

128:2x 2x 2x 2x 2x 2x 2

307:307

170:2x 5x 17

357:3x 7x 17

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 3x 5x 17 = 1020

Therefore, the value for common factors is 1020.

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 = 2361025497600/(1x1020)

LCM = 2361025497600/1020

LCM = 2314730880

Thus, we can understand that the LCM of 990,128,307,170,357 is 2314730880.

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

• LCM of 631, 289, 497, 421, 431
• LCM of 934, 990, 895, 245, 978
• LCM of 868, 409, 529, 388, 845
• LCM of 852, 327, 590, 892, 415
• LCM of 444, 746, 151, 363, 341

1. What is the LCM of 990, 128, 307, 170, 357?

Answer: LCM of 990, 128, 307, 170, 357 is 2314730880.

2. How to calculate the LCM of 990, 128, 307, 170, 357?

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 990, 128, 307, 170, 357.

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}.