Given numbers are 457,742,583,920,460

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

The LCM of 457,742,583,920,460 is 1715815640.

Find LCM of 457,742,583,920,460 with Prime Factorization

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

2 x 2 x 5 x 23 x 53 x 457 x 7 x 11 x 1 x 2 = 1715815640

Therefore, the lowest common multiple of 457,742,583,920,460 is 1715815640.

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.

457 x 742 x 583 x 920 x 460 = 83663170606400

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.

457 : 1, 457

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

583 : 1, 11, 53, 583

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,742,583,920,460, is 1.

Now, the common factors can be found like this.

457:457

742:2x 7x 53

583:11x 53

920:2x 2x 2x 5x 23

460:2x 2x 5x 23

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 5x 23x 53 = 48760

Therefore, the value for common factors is 48760.

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 = 83663170606400/(1x48760)

LCM = 83663170606400/48760

LCM = 1715815640

Thus, we can understand that the LCM of 457,742,583,920,460 is 1715815640.

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

• LCM of 578, 788, 453, 534, 405
• LCM of 615, 135, 290, 184, 581
• LCM of 127, 791, 797, 142, 989
• LCM of 694, 751, 898, 966, 586
• LCM of 320, 667, 123, 781, 377

1. What is the LCM of 457, 742, 583, 920, 460?

Answer: LCM of 457, 742, 583, 920, 460 is 1715815640.

2. How to calculate the LCM of 457, 742, 583, 920, 460?

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 457, 742, 583, 920, 460.

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}.