Given numbers are 3628,5012

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

The LCM of 3628,5012 is 4545884.

Find LCM of 3628,5012 with Prime Factorization

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

2 x 2 x 907 x 1253 = 4545884

Therefore, the lowest common multiple of 3628,5012 is 4545884.

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.

3628 x 5012 = 18183536

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.

3628 : 1, 2, 4, 907, 1814, 3628

5012 : 1, 2, 4, 7, 14, 28, 179, 358, 716, 1253, 2506, 5012

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3628,5012, is 4.

Now, the common factors can be found like this.

3628:2x 2x 907

5012:2x 2x 7x 179

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 = 18183536/(4x1)

LCM = 18183536/4

LCM = 4545884

Thus, we can understand that the LCM of 3628,5012 is 4545884.

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

• LCM of 2678, 3564
• LCM of 1420, 3567
• LCM of 7230, 2373
• LCM of 6960, 8061
• LCM of 8470, 3504

1. What is the LCM of 3628, 5012?

Answer: LCM of 3628, 5012 is 4545884.

2. How to calculate the LCM of 3628, 5012?

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 3628, 5012.

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}.