Given numbers are 464,391,128,924

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

The LCM of 464,391,128,924 is 335271552.

Find LCM of 464,391,128,924 with Prime Factorization

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

2 x 2 x 2 x 2 x 29 x 391 x 8 x 231 = 335271552

Therefore, the lowest common multiple of 464,391,128,924 is 335271552.

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.

464 x 391 x 128 x 924 = 21457379328

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.

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

391 : 1, 17, 23, 391

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,391,128,924, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

391:17x 23

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

924:2x 2x 3x 7x 11

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 2x 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 21457379328/(1x64)

LCM = 21457379328/64

LCM = 335271552

Thus, we can understand that the LCM of 464,391,128,924 is 335271552.

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

• LCM of 806, 524, 906, 665
• LCM of 911, 315, 833, 833
• LCM of 215, 713, 964, 740
• LCM of 226, 798, 690, 143
• LCM of 393, 528, 538, 189

1. What is the LCM of 464, 391, 128, 924?

Answer: LCM of 464, 391, 128, 924 is 335271552.

2. How to calculate the LCM of 464, 391, 128, 924?

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 464, 391, 128, 924.

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}.