Given numbers are 742,585,471,741,456

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

The LCM of 742,585,471,741,456 is 5179323240.

Find LCM of 742,585,471,741,456 with Prime Factorization

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

2 x 3 x 13 x 19 x 371 x 15 x 157 x 1 x 4 = 5179323240

Therefore, the lowest common multiple of 742,585,471,741,456 is 5179323240.

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 585 x 471 x 741 x 456 = 69081813375120

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

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

471 : 1, 3, 157, 471

741 : 1, 3, 13, 19, 39, 57, 247, 741

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,585,471,741,456, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

585:3x 3x 5x 13

471:3x 157

741:3x 13x 19

456:2x 2x 2x 3x 19

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 3x 13x 19 = 13338

Therefore, the value for common factors is 13338.

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 = 69081813375120/(1x13338)

LCM = 69081813375120/13338

LCM = 5179323240

Thus, we can understand that the LCM of 742,585,471,741,456 is 5179323240.

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

• LCM of 800, 883, 776, 557, 345
• LCM of 194, 851, 583, 421, 500
• LCM of 365, 619, 514, 157, 236
• LCM of 884, 905, 584, 982, 426
• LCM of 117, 137, 459, 983, 659

1. What is the LCM of 742, 585, 471, 741, 456?

Answer: LCM of 742, 585, 471, 741, 456 is 5179323240.

2. How to calculate the LCM of 742, 585, 471, 741, 456?

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, 585, 471, 741, 456.

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}.