Given numbers are 742,704,203,810

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

The LCM of 742,704,203,810 is 3067606080.

Find LCM of 742,704,203,810 with Prime Factorization

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

2 x 7 x 53 x 352 x 29 x 405 = 3067606080

Therefore, the lowest common multiple of 742,704,203,810 is 3067606080.

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 704 x 203 x 810 = 85892970240

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

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

203 : 1, 7, 29, 203

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,704,203,810, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

704:2x 2x 2x 2x 2x 2x 11

203:7x 29

810:2x 3x 3x 3x 3x 5

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 7 = 28

Therefore, the value for common factors is 28.

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 = 85892970240/(1x28)

LCM = 85892970240/28

LCM = 3067606080

Thus, we can understand that the LCM of 742,704,203,810 is 3067606080.

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

• LCM of 561, 793, 945, 549
• LCM of 596, 110, 451, 388
• LCM of 722, 755, 664, 248
• LCM of 963, 310, 792, 748
• LCM of 987, 831, 931, 328

1. What is the LCM of 742, 704, 203, 810?

Answer: LCM of 742, 704, 203, 810 is 3067606080.

2. How to calculate the LCM of 742, 704, 203, 810?

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, 704, 203, 810.

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}.