Given numbers are 381,87,707,492

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

The LCM of 381,87,707,492 is 1281109452.

Find LCM of 381,87,707,492 with Prime Factorization

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

3 x 127 x 29 x 707 x 164 = 1281109452

Therefore, the lowest common multiple of 381,87,707,492 is 1281109452.

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 87 x 707 x 492 = 11529985068

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

87 : 1, 3, 29, 87

707 : 1, 7, 101, 707

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 381,87,707,492, is 1.

Now, the common factors can be found like this.

381:3x 127

87:3x 29

707:7x 101

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.

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 11529985068/(1x9)

LCM = 11529985068/9

LCM = 1281109452

Thus, we can understand that the LCM of 381,87,707,492 is 1281109452.

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

• LCM of 628, 46, 563, 844
• LCM of 165, 33, 939, 863
• LCM of 262, 16, 769, 179
• LCM of 806, 50, 157, 946
• LCM of 579, 75, 724, 227

1. What is the LCM of 381, 87, 707, 492?

Answer: LCM of 381, 87, 707, 492 is 1281109452.

2. How to calculate the LCM of 381, 87, 707, 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, 87, 707, 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}.