Given numbers are 514,354,562,312

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

The LCM of 514,354,562,312 is 1329370536.

Find LCM of 514,354,562,312 with Prime Factorization

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

2 x 3 x 257 x 59 x 281 x 52 = 1329370536

Therefore, the lowest common multiple of 514,354,562,312 is 1329370536.

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.

514 x 354 x 562 x 312 = 31904892864

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.

514 : 1, 2, 257, 514

354 : 1, 2, 3, 6, 59, 118, 177, 354

562 : 1, 2, 281, 562

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,354,562,312, is 2.

Now, the common factors can be found like this.

514:2x 257

354:2x 3x 59

562:2x 281

312:2x 2x 2x 3x 13

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 3 = 12

Therefore, the value for common factors is 12.

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 = 31904892864/(2x12)

LCM = 31904892864/24

LCM = 1329370536

Thus, we can understand that the LCM of 514,354,562,312 is 1329370536.

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

• LCM of 459, 432, 734, 605
• LCM of 144, 223, 832, 396
• LCM of 868, 428, 189, 297
• LCM of 911, 817, 167, 736
• LCM of 450, 886, 440, 521

1. What is the LCM of 514, 354, 562, 312?

Answer: LCM of 514, 354, 562, 312 is 1329370536.

2. How to calculate the LCM of 514, 354, 562, 312?

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 514, 354, 562, 312.

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}.