Given numbers are 398,379,438,390,460

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

The LCM of 398,379,438,390,460 is 98772850020.

Find LCM of 398,379,438,390,460 with Prime Factorization

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

2 x 3 x 5 x 199 x 379 x 73 x 13 x 46 = 98772850020

Therefore, the lowest common multiple of 398,379,438,390,460 is 98772850020.

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.

398 x 379 x 438 x 390 x 460 = 11852742002400

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.

398 : 1, 2, 199, 398

379 : 1, 379

438 : 1, 2, 3, 6, 73, 146, 219, 438

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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 398,379,438,390,460, is 1.

Now, the common factors can be found like this.

398:2x 199

379:379

438:2x 3x 73

390:2x 3x 5x 13

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 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 11852742002400/(1x120)

LCM = 11852742002400/120

LCM = 98772850020

Thus, we can understand that the LCM of 398,379,438,390,460 is 98772850020.

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

• LCM of 390, 512, 811, 625, 948
• LCM of 505, 173, 805, 456, 237
• LCM of 312, 191, 520, 672, 238
• LCM of 334, 237, 801, 938, 197
• LCM of 154, 948, 196, 871, 320

1. What is the LCM of 398, 379, 438, 390, 460?

Answer: LCM of 398, 379, 438, 390, 460 is 98772850020.

2. How to calculate the LCM of 398, 379, 438, 390, 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 398, 379, 438, 390, 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}.