Given numbers are 257,161,289,315,168

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

The LCM of 257,161,289,315,168 is 4304863080.

Find LCM of 257,161,289,315,168 with Prime Factorization

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

3 x 7 x 257 x 23 x 289 x 15 x 8 = 4304863080

Therefore, the lowest common multiple of 257,161,289,315,168 is 4304863080.

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.

257 x 161 x 289 x 315 x 168 = 632814872760

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.

257 : 1, 257

161 : 1, 7, 23, 161

289 : 1, 17, 289

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,161,289,315,168, is 1.

Now, the common factors can be found like this.

257:257

161:7x 23

289:17x 17

315:3x 3x 5x 7

168:2x 2x 2x 3x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 7x 7 = 147

Therefore, the value for common factors is 147.

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 = 632814872760/(1x147)

LCM = 632814872760/147

LCM = 4304863080

Thus, we can understand that the LCM of 257,161,289,315,168 is 4304863080.

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

• LCM of 866, 954, 561, 696, 301
• LCM of 540, 984, 241, 622, 842
• LCM of 976, 196, 593, 427, 990
• LCM of 576, 851, 100, 957, 256
• LCM of 253, 308, 768, 677, 325

1. What is the LCM of 257, 161, 289, 315, 168?

Answer: LCM of 257, 161, 289, 315, 168 is 4304863080.

2. How to calculate the LCM of 257, 161, 289, 315, 168?

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 257, 161, 289, 315, 168.

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}.