Given numbers are 385,742,323,314

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

The LCM of 385,742,323,314 is 2069515910.

Find LCM of 385,742,323,314 with Prime Factorization

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

2 x 7 x 55 x 53 x 323 x 157 = 2069515910

Therefore, the lowest common multiple of 385,742,323,314 is 2069515910.

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.

385 x 742 x 323 x 314 = 28973222740

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.

385 : 1, 5, 7, 11, 35, 55, 77, 385

742 : 1, 2, 7, 14, 53, 106, 371, 742

323 : 1, 17, 19, 323

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,742,323,314, is 1.

Now, the common factors can be found like this.

385:5x 7x 11

742:2x 7x 53

323:17x 19

314:2x 157

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 28973222740/(1x14)

LCM = 28973222740/14

LCM = 2069515910

Thus, we can understand that the LCM of 385,742,323,314 is 2069515910.

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

• LCM of 968, 237, 451, 944
• LCM of 351, 807, 290, 546
• LCM of 415, 627, 651, 317
• LCM of 463, 748, 732, 709
• LCM of 231, 740, 390, 222

1. What is the LCM of 385, 742, 323, 314?

Answer: LCM of 385, 742, 323, 314 is 2069515910.

2. How to calculate the LCM of 385, 742, 323, 314?

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 385, 742, 323, 314.

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}.