Given numbers are 738,656,214,409,857

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

The LCM of 738,656,214,409,857 is 221428876464.

Find LCM of 738,656,214,409,857 with Prime Factorization

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

2 x 41 x 9 x 8 x 107 x 409 x 857 = 221428876464

Therefore, the lowest common multiple of 738,656,214,409,857 is 221428876464.

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.

738 x 656 x 214 x 409 x 857 = 36314335740096

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.

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

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

214 : 1, 2, 107, 214

409 : 1, 409

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,656,214,409,857, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

656:2x 2x 2x 2x 41

214:2x 107

409:409

857:857

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 41 = 164

Therefore, the value for common factors is 164.

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 = 36314335740096/(1x164)

LCM = 36314335740096/164

LCM = 221428876464

Thus, we can understand that the LCM of 738,656,214,409,857 is 221428876464.

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

• LCM of 218, 873, 601, 254, 991
• LCM of 918, 636, 823, 373, 101
• LCM of 347, 165, 446, 922, 480
• LCM of 271, 680, 850, 360, 657
• LCM of 649, 459, 343, 830, 776

1. What is the LCM of 738, 656, 214, 409, 857?

Answer: LCM of 738, 656, 214, 409, 857 is 221428876464.

2. How to calculate the LCM of 738, 656, 214, 409, 857?

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 738, 656, 214, 409, 857.

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}.