Given numbers are 37,15,21,87,313

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

The LCM of 37,15,21,87,313 is 35264145.

Find LCM of 37,15,21,87,313 with Prime Factorization

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

3 x 37 x 5 x 7 x 29 x 313 = 35264145

Therefore, the lowest common multiple of 37,15,21,87,313 is 35264145.

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.

37 x 15 x 21 x 87 x 313 = 317377305

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.

37 : 1, 37

15 : 1, 3, 5, 15

21 : 1, 3, 7, 21

87 : 1, 3, 29, 87

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 37,15,21,87,313, is 1.

Now, the common factors can be found like this.

37:37

15:3x 5

21:3x 7

87:3x 29

313:313

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 317377305/(1x9)

LCM = 317377305/9

LCM = 35264145

Thus, we can understand that the LCM of 37,15,21,87,313 is 35264145.

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

• LCM of 44, 56, 51, 12, 386
• LCM of 36, 55, 55, 61, 715
• LCM of 82, 79, 86, 18, 568
• LCM of 56, 49, 63, 23, 759
• LCM of 37, 91, 98, 18, 401

1. What is the LCM of 37, 15, 21, 87, 313?

Answer: LCM of 37, 15, 21, 87, 313 is 35264145.

2. How to calculate the LCM of 37, 15, 21, 87, 313?

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 37, 15, 21, 87, 313.

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}.