Given numbers are 348,756,523,312

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

The LCM of 348,756,523,312 is 298122552.

Find LCM of 348,756,523,312 with Prime Factorization

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

2 x 2 x 3 x 29 x 63 x 523 x 26 = 298122552

Therefore, the lowest common multiple of 348,756,523,312 is 298122552.

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.

348 x 756 x 523 x 312 = 42929647488

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.

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

523 : 1, 523

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,756,523,312, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

756:2x 2x 3x 3x 3x 7

523:523

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 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 42929647488/(1x144)

LCM = 42929647488/144

LCM = 298122552

Thus, we can understand that the LCM of 348,756,523,312 is 298122552.

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

• LCM of 732, 931, 968, 574
• LCM of 259, 926, 520, 702
• LCM of 563, 885, 980, 650
• LCM of 604, 117, 998, 998
• LCM of 154, 814, 416, 308

1. What is the LCM of 348, 756, 523, 312?

Answer: LCM of 348, 756, 523, 312 is 298122552.

2. How to calculate the LCM of 348, 756, 523, 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 348, 756, 523, 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}.