Given numbers are 742,531,537,168,408

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

The LCM of 742,531,537,168,408 is 4795792344.

Find LCM of 742,531,537,168,408 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 53 x 177 x 179 x 1 x 17 = 4795792344

Therefore, the lowest common multiple of 742,531,537,168,408 is 4795792344.

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.

742 x 531 x 537 x 168 x 408 = 14502476048256

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

531 : 1, 3, 9, 59, 177, 531

537 : 1, 3, 179, 537

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

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 742,531,537,168,408, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

531:3x 3x 59

537:3x 179

168:2x 2x 2x 3x 7

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 3x 7 = 3024

Therefore, the value for common factors is 3024.

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 = 14502476048256/(1x3024)

LCM = 14502476048256/3024

LCM = 4795792344

Thus, we can understand that the LCM of 742,531,537,168,408 is 4795792344.

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

• LCM of 271, 350, 767, 386, 798
• LCM of 355, 541, 187, 964, 571
• LCM of 693, 644, 267, 757, 996
• LCM of 512, 722, 293, 654, 207
• LCM of 350, 125, 826, 685, 347

1. What is the LCM of 742, 531, 537, 168, 408?

Answer: LCM of 742, 531, 537, 168, 408 is 4795792344.

2. How to calculate the LCM of 742, 531, 537, 168, 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 742, 531, 537, 168, 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}.