Given numbers are 381,253,407

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

The LCM of 381,253,407 is 3566541.

Find LCM of 381,253,407 with Prime Factorization

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

11 x 381 x 23 x 37 = 3566541

Therefore, the lowest common multiple of 381,253,407 is 3566541.

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 253 x 407 = 39231951

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

253 : 1, 11, 23, 253

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,253,407, is 1.

Now, the common factors can be found like this.

381:3x 127

253:11x 23

407:11x 37

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

11 = 11

Therefore, the value for common factors is 11.

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 = 39231951/(1x11)

LCM = 39231951/11

LCM = 3566541

Thus, we can understand that the LCM of 381,253,407 is 3566541.

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

• LCM of 315, 736, 696
• LCM of 152, 463, 535
• LCM of 136, 726, 614
• LCM of 545, 914, 885
• LCM of 109, 665, 588

1. What is the LCM of 381, 253, 407?

Answer: LCM of 381, 253, 407 is 3566541.

2. How to calculate the LCM of 381, 253, 407?

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, 253, 407.

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}.