Given numbers are 766,67,506

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

The LCM of 766,67,506 is 12984466.

Find LCM of 766,67,506 with Prime Factorization

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

2 x 383 x 67 x 253 = 12984466

Therefore, the lowest common multiple of 766,67,506 is 12984466.

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.

766 x 67 x 506 = 25968932

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.

766 : 1, 2, 383, 766

67 : 1, 67

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,67,506, is 1.

Now, the common factors can be found like this.

766:2x 383

67:67

506:2x 11x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 25968932/(1x2)

LCM = 25968932/2

LCM = 12984466

Thus, we can understand that the LCM of 766,67,506 is 12984466.

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

• LCM of 813, 24, 290
• LCM of 380, 41, 729
• LCM of 724, 30, 689
• LCM of 358, 19, 157
• LCM of 307, 77, 651

1. What is the LCM of 766, 67, 506?

Answer: LCM of 766, 67, 506 is 12984466.

2. How to calculate the LCM of 766, 67, 506?

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 766, 67, 506.

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}.