Given numbers are 468,128,492,424,686

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

The LCM of 468,128,492,424,686 is 11162196864.

Find LCM of 468,128,492,424,686 with Prime Factorization

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

2 x 2 x 2 x 3 x 39 x 16 x 41 x 53 x 343 = 11162196864

Therefore, the lowest common multiple of 468,128,492,424,686 is 11162196864.

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.

468 x 128 x 492 x 424 x 686 = 8572567191552

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

128 : 1, 2, 4, 8, 16, 32, 64, 128

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

424 : 1, 2, 4, 8, 53, 106, 212, 424

686 : 1, 2, 7, 14, 49, 98, 343, 686

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,128,492,424,686, is 2.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

128:2x 2x 2x 2x 2x 2x 2

492:2x 2x 3x 41

424:2x 2x 2x 53

686:2x 7x 7x 7

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 2x 2x 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 8572567191552/(2x384)

LCM = 8572567191552/768

LCM = 11162196864

Thus, we can understand that the LCM of 468,128,492,424,686 is 11162196864.

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

• LCM of 965, 488, 314, 550, 925
• LCM of 291, 683, 111, 649, 548
• LCM of 991, 825, 718, 660, 810
• LCM of 731, 574, 230, 696, 460
• LCM of 894, 916, 179, 639, 653

1. What is the LCM of 468, 128, 492, 424, 686?

Answer: LCM of 468, 128, 492, 424, 686 is 11162196864.

2. How to calculate the LCM of 468, 128, 492, 424, 686?

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 468, 128, 492, 424, 686.

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}.