Given numbers are 656,756,305,442

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

The LCM of 656,756,305,442 is 8357141520.

Find LCM of 656,756,305,442 with Prime Factorization

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

2 x 2 x 164 x 189 x 305 x 221 = 8357141520

Therefore, the lowest common multiple of 656,756,305,442 is 8357141520.

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.

656 x 756 x 305 x 442 = 66857132160

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.

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

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

305 : 1, 5, 61, 305

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 656,756,305,442, is 1.

Now, the common factors can be found like this.

656:2x 2x 2x 2x 41

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

305:5x 61

442:2x 13x 17

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 = 66857132160/(1x8)

LCM = 66857132160/8

LCM = 8357141520

Thus, we can understand that the LCM of 656,756,305,442 is 8357141520.

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

• LCM of 718, 911, 933, 669
• LCM of 827, 311, 401, 222
• LCM of 112, 482, 308, 423
• LCM of 981, 308, 592, 950
• LCM of 988, 858, 893, 968

1. What is the LCM of 656, 756, 305, 442?

Answer: LCM of 656, 756, 305, 442 is 8357141520.

2. How to calculate the LCM of 656, 756, 305, 442?

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 656, 756, 305, 442.

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}.