Given numbers are 381,268,589,589

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

The LCM of 381,268,589,589 is 60141612.

Find LCM of 381,268,589,589 with Prime Factorization

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

19 x 31 x 381 x 268 x 1 x 1 = 60141612

Therefore, the lowest common multiple of 381,268,589,589 is 60141612.

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.

381 x 268 x 589 x 589 = 35423409468

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.

381 : 1, 3, 127, 381

268 : 1, 2, 4, 67, 134, 268

589 : 1, 19, 31, 589

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,268,589,589, is 1.

Now, the common factors can be found like this.

381:3x 127

268:2x 2x 67

589:19x 31

589:19x 31

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

19x 31 = 589

Therefore, the value for common factors is 589.

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 = 35423409468/(1x589)

LCM = 35423409468/589

LCM = 60141612

Thus, we can understand that the LCM of 381,268,589,589 is 60141612.

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

• LCM of 665, 716, 248, 799
• LCM of 991, 234, 237, 822
• LCM of 660, 233, 277, 902
• LCM of 597, 701, 418, 900
• LCM of 524, 138, 732, 984

1. What is the LCM of 381, 268, 589, 589?

Answer: LCM of 381, 268, 589, 589 is 60141612.

2. How to calculate the LCM of 381, 268, 589, 589?

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 381, 268, 589, 589.

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}.