Given numbers are 352,313,756,532

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

The LCM of 352,313,756,532 is 395642016.

Find LCM of 352,313,756,532 with Prime Factorization

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

2 x 2 x 7 x 88 x 313 x 27 x 19 = 395642016

Therefore, the lowest common multiple of 352,313,756,532 is 395642016.

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.

352 x 313 x 756 x 532 = 44311905792

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

313 : 1, 313

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

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,313,756,532, is 1.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

313:313

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

532:2x 2x 7x 19

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 7 = 112

Therefore, the value for common factors is 112.

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 = 44311905792/(1x112)

LCM = 44311905792/112

LCM = 395642016

Thus, we can understand that the LCM of 352,313,756,532 is 395642016.

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

• LCM of 785, 104, 194, 417
• LCM of 629, 856, 156, 880
• LCM of 557, 619, 427, 303
• LCM of 379, 276, 480, 914
• LCM of 216, 184, 548, 308

1. What is the LCM of 352, 313, 756, 532?

Answer: LCM of 352, 313, 756, 532 is 395642016.

2. How to calculate the LCM of 352, 313, 756, 532?

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 352, 313, 756, 532.

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}.