Given numbers are 270,152,283,283

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

The LCM of 270,152,283,283 is 5807160.

Find LCM of 270,152,283,283 with Prime Factorization

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

2 x 283 x 135 x 76 x 1 x 1 = 5807160

Therefore, the lowest common multiple of 270,152,283,283 is 5807160.

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.

270 x 152 x 283 x 283 = 3286852560

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.

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

152 : 1, 2, 4, 8, 19, 38, 76, 152

283 : 1, 283

283 : 1, 283

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,152,283,283, is 1.

Now, the common factors can be found like this.

270:2x 3x 3x 3x 5

152:2x 2x 2x 19

283:283

283:283

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

2x 283 = 566

Therefore, the value for common factors is 566.

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 = 3286852560/(1x566)

LCM = 3286852560/566

LCM = 5807160

Thus, we can understand that the LCM of 270,152,283,283 is 5807160.

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

• LCM of 325, 864, 624, 508
• LCM of 939, 743, 746, 898
• LCM of 808, 915, 765, 674
• LCM of 754, 385, 895, 292
• LCM of 509, 886, 781, 285

1. What is the LCM of 270, 152, 283, 283?

Answer: LCM of 270, 152, 283, 283 is 5807160.

2. How to calculate the LCM of 270, 152, 283, 283?

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 270, 152, 283, 283.

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}.