Given numbers are 103,412,515,21

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

The LCM of 103,412,515,21 is 43260.

Find LCM of 103,412,515,21 with Prime Factorization

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

103 x 1 x 4 x 5 x 21 = 43260

Therefore, the lowest common multiple of 103,412,515,21 is 43260.

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.

103 x 412 x 515 x 21 = 458945340

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.

103 : 1, 103

412 : 1, 2, 4, 103, 206, 412

515 : 1, 5, 103, 515

21 : 1, 3, 7, 21

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,412,515,21, is 1.

Now, the common factors can be found like this.

103:103

412:2x 2x 103

515:5x 103

21:3x 7

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

103x 103 = 10609

Therefore, the value for common factors is 10609.

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 = 458945340/(1x10609)

LCM = 458945340/10609

LCM = 43260

Thus, we can understand that the LCM of 103,412,515,21 is 43260.

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

• LCM of 794, 308, 153, 76
• LCM of 436, 257, 170, 49
• LCM of 988, 157, 665, 54
• LCM of 944, 723, 545, 42
• LCM of 106, 211, 562, 21

1. What is the LCM of 103, 412, 515, 21?

Answer: LCM of 103, 412, 515, 21 is 43260.

2. How to calculate the LCM of 103, 412, 515, 21?

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 103, 412, 515, 21.

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}.