Given numbers are 922,738,128,756,656

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

The LCM of 922,738,128,756,656 is 457252992.

Find LCM of 922,738,128,756,656 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 41 x 461 x 1 x 8 x 21 x 1 = 457252992

Therefore, the lowest common multiple of 922,738,128,756,656 is 457252992.

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.

922 x 738 x 128 x 756 x 656 = 43193946636288

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.

922 : 1, 2, 461, 922

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

128 : 1, 2, 4, 8, 16, 32, 64, 128

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

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,738,128,756,656, is 2.

Now, the common factors can be found like this.

922:2x 461

738:2x 3x 3x 41

128:2x 2x 2x 2x 2x 2x 2

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

656:2x 2x 2x 2x 41

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 2x 3x 3x 41 = 47232

Therefore, the value for common factors is 47232.

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 = 43193946636288/(2x47232)

LCM = 43193946636288/94464

LCM = 457252992

Thus, we can understand that the LCM of 922,738,128,756,656 is 457252992.

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

• LCM of 232, 631, 673, 380, 969
• LCM of 168, 112, 545, 452, 144
• LCM of 739, 131, 393, 187, 920
• LCM of 763, 158, 353, 365, 881
• LCM of 815, 539, 688, 984, 753

1. What is the LCM of 922, 738, 128, 756, 656?

Answer: LCM of 922, 738, 128, 756, 656 is 457252992.

2. How to calculate the LCM of 922, 738, 128, 756, 656?

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 922, 738, 128, 756, 656.

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}.