Given numbers are 314,514,764,392

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

The LCM of 314,514,764,392 is 3021010328.

Find LCM of 314,514,764,392 with Prime Factorization

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

2 x 2 x 157 x 257 x 191 x 98 = 3021010328

Therefore, the lowest common multiple of 314,514,764,392 is 3021010328.

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.

314 x 514 x 764 x 392 = 48336165248

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.

314 : 1, 2, 157, 314

514 : 1, 2, 257, 514

764 : 1, 2, 4, 191, 382, 764

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,514,764,392, is 2.

Now, the common factors can be found like this.

314:2x 157

514:2x 257

764:2x 2x 191

392:2x 2x 2x 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.

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 48336165248/(2x8)

LCM = 48336165248/16

LCM = 3021010328

Thus, we can understand that the LCM of 314,514,764,392 is 3021010328.

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

• LCM of 233, 927, 340, 582
• LCM of 392, 245, 353, 977
• LCM of 693, 566, 215, 444
• LCM of 173, 348, 380, 472
• LCM of 559, 169, 945, 333

1. What is the LCM of 314, 514, 764, 392?

Answer: LCM of 314, 514, 764, 392 is 3021010328.

2. How to calculate the LCM of 314, 514, 764, 392?

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 314, 514, 764, 392.

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}.