Given numbers are 908,816,352,756

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

The LCM of 908,816,352,756 is 256731552.

Find LCM of 908,816,352,756 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 227 x 17 x 22 x 63 = 256731552

Therefore, the lowest common multiple of 908,816,352,756 is 256731552.

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.

908 x 816 x 352 x 756 = 197169831936

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.

908 : 1, 2, 4, 227, 454, 908

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,816,352,756, is 4.

Now, the common factors can be found like this.

908:2x 2x 227

816:2x 2x 2x 2x 3x 17

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

756:2x 2x 3x 3x 3x 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 2x 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 197169831936/(4x192)

LCM = 197169831936/768

LCM = 256731552

Thus, we can understand that the LCM of 908,816,352,756 is 256731552.

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

• LCM of 675, 477, 345, 316
• LCM of 401, 269, 698, 202
• LCM of 205, 969, 746, 327
• LCM of 452, 169, 581, 436
• LCM of 593, 133, 675, 827

1. What is the LCM of 908, 816, 352, 756?

Answer: LCM of 908, 816, 352, 756 is 256731552.

2. How to calculate the LCM of 908, 816, 352, 756?

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 908, 816, 352, 756.

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}.