Given numbers are 560,150,239,460

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

The LCM of 560,150,239,460 is 46174800.

Find LCM of 560,150,239,460 with Prime Factorization

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

2 x 2 x 5 x 28 x 15 x 239 x 23 = 46174800

Therefore, the lowest common multiple of 560,150,239,460 is 46174800.

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.

560 x 150 x 239 x 460 = 9234960000

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.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

239 : 1, 239

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,150,239,460, is 1.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

150:2x 3x 5x 5

239:239

460:2x 2x 5x 23

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 9234960000/(1x200)

LCM = 9234960000/200

LCM = 46174800

Thus, we can understand that the LCM of 560,150,239,460 is 46174800.

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

• LCM of 544, 863, 867, 672
• LCM of 384, 220, 495, 910
• LCM of 430, 412, 480, 820
• LCM of 559, 182, 959, 387
• LCM of 820, 640, 164, 753

1. What is the LCM of 560, 150, 239, 460?

Answer: LCM of 560, 150, 239, 460 is 46174800.

2. How to calculate the LCM of 560, 150, 239, 460?

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 560, 150, 239, 460.

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}.