Given numbers are 371,278,217,900,566

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

The LCM of 371,278,217,900,566 is 407173353300.

Find LCM of 371,278,217,900,566 with Prime Factorization

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

2 x 7 x 53 x 139 x 31 x 450 x 283 = 407173353300

Therefore, the lowest common multiple of 371,278,217,900,566 is 407173353300.

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.

371 x 278 x 217 x 900 x 566 = 11400853892400

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.

371 : 1, 7, 53, 371

278 : 1, 2, 139, 278

217 : 1, 7, 31, 217

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

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 371,278,217,900,566, is 1.

Now, the common factors can be found like this.

371:7x 53

278:2x 139

217:7x 31

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

566:2x 283

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 7 = 28

Therefore, the value for common factors is 28.

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 = 11400853892400/(1x28)

LCM = 11400853892400/28

LCM = 407173353300

Thus, we can understand that the LCM of 371,278,217,900,566 is 407173353300.

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

• LCM of 595, 760, 485, 172, 132
• LCM of 119, 633, 284, 183, 631
• LCM of 885, 194, 837, 222, 500
• LCM of 938, 404, 988, 237, 759
• LCM of 925, 180, 675, 497, 181

1. What is the LCM of 371, 278, 217, 900, 566?

Answer: LCM of 371, 278, 217, 900, 566 is 407173353300.

2. How to calculate the LCM of 371, 278, 217, 900, 566?

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 371, 278, 217, 900, 566.

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}.