Given numbers are 383,270,136,309

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

The LCM of 383,270,136,309 is 724283640.

Find LCM of 383,270,136,309 with Prime Factorization

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

2 x 3 x 383 x 45 x 68 x 103 = 724283640

Therefore, the lowest common multiple of 383,270,136,309 is 724283640.

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.

383 x 270 x 136 x 309 = 4345701840

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.

383 : 1, 383

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

136 : 1, 2, 4, 8, 17, 34, 68, 136

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,270,136,309, is 1.

Now, the common factors can be found like this.

383:383

270:2x 3x 3x 3x 5

136:2x 2x 2x 17

309:3x 103

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 4345701840/(1x6)

LCM = 4345701840/6

LCM = 724283640

Thus, we can understand that the LCM of 383,270,136,309 is 724283640.

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

• LCM of 603, 765, 320, 816
• LCM of 337, 738, 796, 178
• LCM of 549, 445, 654, 728
• LCM of 484, 840, 404, 715
• LCM of 336, 401, 629, 941

1. What is the LCM of 383, 270, 136, 309?

Answer: LCM of 383, 270, 136, 309 is 724283640.

2. How to calculate the LCM of 383, 270, 136, 309?

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 383, 270, 136, 309.

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}.