Given numbers are 460,224,521,247

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

The LCM of 460,224,521,247 is 3314977120.

Find LCM of 460,224,521,247 with Prime Factorization

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

2 x 2 x 115 x 56 x 521 x 247 = 3314977120

Therefore, the lowest common multiple of 460,224,521,247 is 3314977120.

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.

460 x 224 x 521 x 247 = 13259908480

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.

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

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

521 : 1, 521

247 : 1, 13, 19, 247

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,224,521,247, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

224:2x 2x 2x 2x 2x 7

521:521

247:13x 19

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 13259908480/(1x4)

LCM = 13259908480/4

LCM = 3314977120

Thus, we can understand that the LCM of 460,224,521,247 is 3314977120.

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

• LCM of 350, 895, 672, 556
• LCM of 419, 171, 589, 396
• LCM of 435, 868, 366, 105
• LCM of 214, 317, 567, 510
• LCM of 342, 163, 793, 264

1. What is the LCM of 460, 224, 521, 247?

Answer: LCM of 460, 224, 521, 247 is 3314977120.

2. How to calculate the LCM of 460, 224, 521, 247?

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 460, 224, 521, 247.

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}.