Given numbers are 316,216,448,104,916

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

The LCM of 316,216,448,104,916 is 2844773568.

Find LCM of 316,216,448,104,916 with Prime Factorization

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

2 x 2 x 2 x 79 x 27 x 56 x 13 x 229 = 2844773568

Therefore, the lowest common multiple of 316,216,448,104,916 is 2844773568.

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.

316 x 216 x 448 x 104 x 916 = 2913048133632

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.

316 : 1, 2, 4, 79, 158, 316

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

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

104 : 1, 2, 4, 8, 13, 26, 52, 104

916 : 1, 2, 4, 229, 458, 916

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 316,216,448,104,916, is 4.

Now, the common factors can be found like this.

316:2x 2x 79

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

448:2x 2x 2x 2x 2x 2x 7

104:2x 2x 2x 13

916:2x 2x 229

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 2x 2x 2 = 256

Therefore, the value for common factors is 256.

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 = 2913048133632/(4x256)

LCM = 2913048133632/1024

LCM = 2844773568

Thus, we can understand that the LCM of 316,216,448,104,916 is 2844773568.

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

• LCM of 335, 723, 936, 908, 551
• LCM of 188, 969, 516, 256, 455
• LCM of 549, 957, 123, 380, 571
• LCM of 121, 152, 141, 517, 623
• LCM of 542, 305, 989, 865, 630

1. What is the LCM of 316, 216, 448, 104, 916?

Answer: LCM of 316, 216, 448, 104, 916 is 2844773568.

2. How to calculate the LCM of 316, 216, 448, 104, 916?

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 316, 216, 448, 104, 916.

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}.