Given numbers are 301,33,735

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

The LCM of 301,33,735 is 347655.

Find LCM of 301,33,735 with Prime Factorization

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

3 x 7 x 43 x 11 x 35 = 347655

Therefore, the lowest common multiple of 301,33,735 is 347655.

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 33 x 735 = 7300755

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

33 : 1, 3, 11, 33

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,33,735, is 1.

Now, the common factors can be found like this.

301:7x 43

33:3x 11

735:3x 5x 7x 7

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

3x 7 = 21

Therefore, the value for common factors is 21.

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 = 7300755/(1x21)

LCM = 7300755/21

LCM = 347655

Thus, we can understand that the LCM of 301,33,735 is 347655.

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

• LCM of 740, 41, 933
• LCM of 732, 61, 944
• LCM of 713, 57, 233
• LCM of 935, 17, 589
• LCM of 540, 74, 499

1. What is the LCM of 301, 33, 735?

Answer: LCM of 301, 33, 735 is 347655.

2. How to calculate the LCM of 301, 33, 735?

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, 33, 735.

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}.