Given numbers are 120,118,201,729

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

The LCM of 120,118,201,729 is 115269480.

Find LCM of 120,118,201,729 with Prime Factorization

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

2 x 3 x 20 x 59 x 67 x 243 = 115269480

Therefore, the lowest common multiple of 120,118,201,729 is 115269480.

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.

120 x 118 x 201 x 729 = 2074850640

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.

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

118 : 1, 2, 59, 118

201 : 1, 3, 67, 201

729 : 1, 3, 9, 27, 81, 243, 729

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 120,118,201,729, is 1.

Now, the common factors can be found like this.

120:2x 2x 2x 3x 5

118:2x 59

201:3x 67

729:3x 3x 3x 3x 3x 3

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 2074850640/(1x18)

LCM = 2074850640/18

LCM = 115269480

Thus, we can understand that the LCM of 120,118,201,729 is 115269480.

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

• LCM of 100, 763, 575, 643
• LCM of 471, 138, 495, 944
• LCM of 469, 531, 986, 939
• LCM of 841, 617, 711, 424
• LCM of 755, 699, 742, 398

1. What is the LCM of 120, 118, 201, 729?

Answer: LCM of 120, 118, 201, 729 is 115269480.

2. How to calculate the LCM of 120, 118, 201, 729?

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 120, 118, 201, 729.

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}.