Given numbers are 96,39,58,69,753

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

The LCM of 96,39,58,69,753 is 208936416.

Find LCM of 96,39,58,69,753 with Prime Factorization

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

2 x 3 x 16 x 13 x 29 x 23 x 251 = 208936416

Therefore, the lowest common multiple of 96,39,58,69,753 is 208936416.

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.

96 x 39 x 58 x 69 x 753 = 11282566464

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.

96 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

39 : 1, 3, 13, 39

58 : 1, 2, 29, 58

69 : 1, 3, 23, 69

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 96,39,58,69,753, is 1.

Now, the common factors can be found like this.

96:2x 2x 2x 2x 2x 3

39:3x 13

58:2x 29

69:3x 23

753:3x 251

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

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 11282566464/(1x54)

LCM = 11282566464/54

LCM = 208936416

Thus, we can understand that the LCM of 96,39,58,69,753 is 208936416.

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

• LCM of 46, 47, 25, 40, 384
• LCM of 30, 93, 53, 41, 258
• LCM of 33, 91, 70, 24, 100
• LCM of 34, 78, 80, 76, 835
• LCM of 15, 84, 99, 90, 808

1. What is the LCM of 96, 39, 58, 69, 753?

Answer: LCM of 96, 39, 58, 69, 753 is 208936416.

2. How to calculate the LCM of 96, 39, 58, 69, 753?

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 96, 39, 58, 69, 753.

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}.