Given numbers are 1006,4714

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

The LCM of 1006,4714 is 2371142.

Find LCM of 1006,4714 with Prime Factorization

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

2 x 503 x 2357 = 2371142

Therefore, the lowest common multiple of 1006,4714 is 2371142.

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 4714 = 4742284

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

4714 : 1, 2, 2357, 4714

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1006,4714, is 2.

Now, the common factors can be found like this.

1006:2x 503

4714:2x 2357

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 = 4742284/(2x1)

LCM = 4742284/2

LCM = 2371142

Thus, we can understand that the LCM of 1006,4714 is 2371142.

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

• LCM of 7166, 2164
• LCM of 6077, 2592
• LCM of 7354, 4001
• LCM of 9401, 9676
• LCM of 9943, 2192

1. What is the LCM of 1006, 4714?

Answer: LCM of 1006, 4714 is 2371142.

2. How to calculate the LCM of 1006, 4714?

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, 4714.

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}.