Given numbers are 521,230,306,271,278

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

The LCM of 521,230,306,271,278 is 690623069310.

Find LCM of 521,230,306,271,278 with Prime Factorization

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

2 x 521 x 115 x 153 x 271 x 139 = 690623069310

Therefore, the lowest common multiple of 521,230,306,271,278 is 690623069310.

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.

521 x 230 x 306 x 271 x 278 = 2762492277240

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.

521 : 1, 521

230 : 1, 2, 5, 10, 23, 46, 115, 230

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

271 : 1, 271

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,230,306,271,278, is 1.

Now, the common factors can be found like this.

521:521

230:2x 5x 23

306:2x 3x 3x 17

271:271

278:2x 139

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2762492277240/(1x4)

LCM = 2762492277240/4

LCM = 690623069310

Thus, we can understand that the LCM of 521,230,306,271,278 is 690623069310.

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

• LCM of 759, 810, 263, 300, 213
• LCM of 674, 744, 713, 939, 842
• LCM of 726, 434, 598, 975, 206
• LCM of 119, 223, 179, 739, 246
• LCM of 869, 675, 341, 187, 277

1. What is the LCM of 521, 230, 306, 271, 278?

Answer: LCM of 521, 230, 306, 271, 278 is 690623069310.

2. How to calculate the LCM of 521, 230, 306, 271, 278?

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 521, 230, 306, 271, 278.

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}.