Given numbers are 309,766,323,136

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

The LCM of 309,766,323,136 is 305808648.

Find LCM of 309,766,323,136 with Prime Factorization

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

2 x 17 x 309 x 383 x 19 x 4 = 305808648

Therefore, the lowest common multiple of 309,766,323,136 is 305808648.

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.

309 x 766 x 323 x 136 = 10397494032

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.

309 : 1, 3, 103, 309

766 : 1, 2, 383, 766

323 : 1, 17, 19, 323

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,766,323,136, is 1.

Now, the common factors can be found like this.

309:3x 103

766:2x 383

323:17x 19

136:2x 2x 2x 17

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 10397494032/(1x34)

LCM = 10397494032/34

LCM = 305808648

Thus, we can understand that the LCM of 309,766,323,136 is 305808648.

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

• LCM of 945, 120, 966, 152
• LCM of 944, 974, 101, 949
• LCM of 456, 962, 111, 604
• LCM of 775, 350, 751, 453
• LCM of 191, 964, 870, 978

1. What is the LCM of 309, 766, 323, 136?

Answer: LCM of 309, 766, 323, 136 is 305808648.

2. How to calculate the LCM of 309, 766, 323, 136?

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 309, 766, 323, 136.

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}.