Given numbers are 229,814,817,900,271

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

The LCM of 229,814,817,900,271 is 18572216958900.

Find LCM of 229,814,817,900,271 with Prime Factorization

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

2 x 229 x 407 x 817 x 450 x 271 = 18572216958900

Therefore, the lowest common multiple of 229,814,817,900,271 is 18572216958900.

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.

229 x 814 x 817 x 900 x 271 = 37144433917800

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.

229 : 1, 229

814 : 1, 2, 11, 22, 37, 74, 407, 814

817 : 1, 19, 43, 817

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,814,817,900,271, is 1.

Now, the common factors can be found like this.

229:229

814:2x 11x 37

817:19x 43

900:2x 2x 3x 3x 5x 5

271:271

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

2 = 2

Therefore, the value for common factors is 2.

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 = 37144433917800/(1x2)

LCM = 37144433917800/2

LCM = 18572216958900

Thus, we can understand that the LCM of 229,814,817,900,271 is 18572216958900.

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

• LCM of 413, 637, 658, 899, 971
• LCM of 708, 498, 111, 533, 977
• LCM of 675, 289, 255, 985, 132
• LCM of 378, 375, 542, 132, 525
• LCM of 463, 543, 985, 601, 114

1. What is the LCM of 229, 814, 817, 900, 271?

Answer: LCM of 229, 814, 817, 900, 271 is 18572216958900.

2. How to calculate the LCM of 229, 814, 817, 900, 271?

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 229, 814, 817, 900, 271.

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}.