Given numbers are 380,587,418,254

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

The LCM of 380,587,418,254 is 311614820.

Find LCM of 380,587,418,254 with Prime Factorization

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

2 x 19 x 10 x 587 x 11 x 127 = 311614820

Therefore, the lowest common multiple of 380,587,418,254 is 311614820.

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.

380 x 587 x 418 x 254 = 23682726320

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.

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

587 : 1, 587

418 : 1, 2, 11, 19, 22, 38, 209, 418

254 : 1, 2, 127, 254

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,587,418,254, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

587:587

418:2x 11x 19

254:2x 127

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 19 = 76

Therefore, the value for common factors is 76.

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 = 23682726320/(1x76)

LCM = 23682726320/76

LCM = 311614820

Thus, we can understand that the LCM of 380,587,418,254 is 311614820.

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

• LCM of 244, 800, 242, 570
• LCM of 543, 506, 504, 870
• LCM of 778, 788, 922, 688
• LCM of 200, 911, 224, 307
• LCM of 388, 215, 987, 425

1. What is the LCM of 380, 587, 418, 254?

Answer: LCM of 380, 587, 418, 254 is 311614820.

2. How to calculate the LCM of 380, 587, 418, 254?

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 380, 587, 418, 254.

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}.