Given numbers are 301,135,380,501

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

The LCM of 301,135,380,501 is 515739420.

Find LCM of 301,135,380,501 with Prime Factorization

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

3 x 5 x 301 x 9 x 76 x 167 = 515739420

Therefore, the lowest common multiple of 301,135,380,501 is 515739420.

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 135 x 380 x 501 = 7736091300

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

135 : 1, 3, 5, 9, 15, 27, 45, 135

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

501 : 1, 3, 167, 501

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,135,380,501, is 1.

Now, the common factors can be found like this.

301:7x 43

135:3x 3x 3x 5

380:2x 2x 5x 19

501:3x 167

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 7736091300/(1x15)

LCM = 7736091300/15

LCM = 515739420

Thus, we can understand that the LCM of 301,135,380,501 is 515739420.

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

• LCM of 391, 807, 333, 838
• LCM of 816, 401, 581, 726
• LCM of 256, 392, 419, 946
• LCM of 860, 386, 718, 995
• LCM of 246, 172, 462, 921

1. What is the LCM of 301, 135, 380, 501?

Answer: LCM of 301, 135, 380, 501 is 515739420.

2. How to calculate the LCM of 301, 135, 380, 501?

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, 135, 380, 501.

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}.