Given numbers are 748,132,993,408

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

The LCM of 748,132,993,408 is 1485528.

Find LCM of 748,132,993,408 with Prime Factorization

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

2 x 2 x 3 x 11 x 17 x 1 x 1 x 331 x 2 = 1485528

Therefore, the lowest common multiple of 748,132,993,408 is 1485528.

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.

748 x 132 x 993 x 408 = 40002297984

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

993 : 1, 3, 331, 993

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,132,993,408, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

132:2x 2x 3x 11

993:3x 331

408:2x 2x 2x 3x 17

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

2x 2x 2x 2x 3x 3x 11x 17 = 26928

Therefore, the value for common factors is 26928.

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 = 40002297984/(1x26928)

LCM = 40002297984/26928

LCM = 1485528

Thus, we can understand that the LCM of 748,132,993,408 is 1485528.

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

• LCM of 603, 189, 250, 809
• LCM of 569, 602, 717, 547
• LCM of 221, 486, 789, 919
• LCM of 144, 672, 947, 601
• LCM of 380, 716, 323, 589

1. What is the LCM of 748, 132, 993, 408?

Answer: LCM of 748, 132, 993, 408 is 1485528.

2. How to calculate the LCM of 748, 132, 993, 408?

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 748, 132, 993, 408.

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}.