Given numbers are 214,816,557,121,237

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

The LCM of 214,816,557,121,237 is 464880782256.

Find LCM of 214,816,557,121,237 with Prime Factorization

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

2 x 3 x 107 x 136 x 557 x 121 x 79 = 464880782256

Therefore, the lowest common multiple of 214,816,557,121,237 is 464880782256.

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.

214 x 816 x 557 x 121 x 237 = 2789284693536

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.

214 : 1, 2, 107, 214

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

557 : 1, 557

121 : 1, 11, 121

237 : 1, 3, 79, 237

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,816,557,121,237, is 1.

Now, the common factors can be found like this.

214:2x 107

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

557:557

121:11x 11

237:3x 79

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 2789284693536/(1x6)

LCM = 2789284693536/6

LCM = 464880782256

Thus, we can understand that the LCM of 214,816,557,121,237 is 464880782256.

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

• LCM of 430, 936, 184, 426, 573
• LCM of 979, 820, 261, 821, 651
• LCM of 606, 205, 393, 963, 656
• LCM of 562, 350, 215, 622, 392
• LCM of 123, 978, 806, 821, 194

1. What is the LCM of 214, 816, 557, 121, 237?

Answer: LCM of 214, 816, 557, 121, 237 is 464880782256.

2. How to calculate the LCM of 214, 816, 557, 121, 237?

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 214, 816, 557, 121, 237.

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}.