Given numbers are 301,260,398,285

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

The LCM of 301,260,398,285 is 887703180.

Find LCM of 301,260,398,285 with Prime Factorization

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

2 x 5 x 301 x 26 x 199 x 57 = 887703180

Therefore, the lowest common multiple of 301,260,398,285 is 887703180.

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.

301 x 260 x 398 x 285 = 8877031800

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.

301 : 1, 7, 43, 301

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

398 : 1, 2, 199, 398

285 : 1, 3, 5, 15, 19, 57, 95, 285

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,260,398,285, is 1.

Now, the common factors can be found like this.

301:7x 43

260:2x 2x 5x 13

398:2x 199

285:3x 5x 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 5 = 10

Therefore, the value for common factors is 10.

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 = 8877031800/(1x10)

LCM = 8877031800/10

LCM = 887703180

Thus, we can understand that the LCM of 301,260,398,285 is 887703180.

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

• LCM of 763, 258, 482, 397
• LCM of 830, 664, 380, 832
• LCM of 262, 564, 538, 341
• LCM of 852, 585, 914, 781
• LCM of 667, 685, 489, 966

1. What is the LCM of 301, 260, 398, 285?

Answer: LCM of 301, 260, 398, 285 is 887703180.

2. How to calculate the LCM of 301, 260, 398, 285?

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 301, 260, 398, 285.

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}.