Given numbers are 1006,7712

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

The LCM of 1006,7712 is 3879136.

Find LCM of 1006,7712 with Prime Factorization

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

2 x 503 x 3856 = 3879136

Therefore, the lowest common multiple of 1006,7712 is 3879136.

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.

1006 x 7712 = 7758272

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.

1006 : 1, 2, 503, 1006

7712 : 1, 2, 4, 8, 16, 32, 241, 482, 964, 1928, 3856, 7712

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1006,7712, is 2.

Now, the common factors can be found like this.

1006:2x 503

7712:2x 2x 2x 2x 2x 241

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

= 1

Therefore, the value for common factors is 1.

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 = 7758272/(2x1)

LCM = 7758272/2

LCM = 3879136

Thus, we can understand that the LCM of 1006,7712 is 3879136.

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

• LCM of 5248, 3465
• LCM of 9309, 5547
• LCM of 8774, 8695
• LCM of 5701, 7243
• LCM of 5939, 7300

1. What is the LCM of 1006, 7712?

Answer: LCM of 1006, 7712 is 3879136.

2. How to calculate the LCM of 1006, 7712?

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 1006, 7712.

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}.