Given numbers are 381,11,492

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

The LCM of 381,11,492 is 687324.

Find LCM of 381,11,492 with Prime Factorization

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

3 x 127 x 11 x 164 = 687324

Therefore, the lowest common multiple of 381,11,492 is 687324.

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 11 x 492 = 2061972

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

11 : 1, 11

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,11,492, is 1.

Now, the common factors can be found like this.

381:3x 127

11:11

492:2x 2x 3x 41

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

3 = 3

Therefore, the value for common factors is 3.

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 = 2061972/(1x3)

LCM = 2061972/3

LCM = 687324

Thus, we can understand that the LCM of 381,11,492 is 687324.

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

• LCM of 391, 17, 692
• LCM of 278, 79, 642
• LCM of 289, 62, 869
• LCM of 886, 98, 803
• LCM of 778, 64, 569

1. What is the LCM of 381, 11, 492?

Answer: LCM of 381, 11, 492 is 687324.

2. How to calculate the LCM of 381, 11, 492?

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, 11, 492.

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}.