Given numbers are 398,270,652,646

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

The LCM of 398,270,652,646 is 5657661540.

Find LCM of 398,270,652,646 with Prime Factorization

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

2 x 199 x 135 x 326 x 323 = 5657661540

Therefore, the lowest common multiple of 398,270,652,646 is 5657661540.

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 270 x 652 x 646 = 45261292320

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

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

652 : 1, 2, 4, 163, 326, 652

646 : 1, 2, 17, 19, 34, 38, 323, 646

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,270,652,646, is 2.

Now, the common factors can be found like this.

398:2x 199

270:2x 3x 3x 3x 5

652:2x 2x 163

646:2x 17x 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 = 45261292320/(2x4)

LCM = 45261292320/8

LCM = 5657661540

Thus, we can understand that the LCM of 398,270,652,646 is 5657661540.

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

• LCM of 172, 855, 109, 189
• LCM of 910, 371, 196, 454
• LCM of 294, 383, 298, 375
• LCM of 315, 427, 644, 215
• LCM of 515, 222, 283, 464

1. What is the LCM of 398, 270, 652, 646?

Answer: LCM of 398, 270, 652, 646 is 5657661540.

2. How to calculate the LCM of 398, 270, 652, 646?

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, 270, 652, 646.

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}.