Given numbers are 468,494,752,112,386

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

The LCM of 468,494,752,112,386 is 2258461296.

Find LCM of 468,494,752,112,386 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 9 x 19 x 47 x 7 x 193 = 2258461296

Therefore, the lowest common multiple of 468,494,752,112,386 is 2258461296.

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 494 x 752 x 112 x 386 = 7516159193088

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

494 : 1, 2, 13, 19, 26, 38, 247, 494

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

386 : 1, 2, 193, 386

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,494,752,112,386, is 2.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

494:2x 13x 19

752:2x 2x 2x 2x 47

112:2x 2x 2x 2x 7

386:2x 193

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 13 = 1664

Therefore, the value for common factors is 1664.

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 = 7516159193088/(2x1664)

LCM = 7516159193088/3328

LCM = 2258461296

Thus, we can understand that the LCM of 468,494,752,112,386 is 2258461296.

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

• LCM of 159, 601, 235, 650, 291
• LCM of 305, 485, 764, 960, 756
• LCM of 822, 999, 603, 254, 834
• LCM of 963, 910, 434, 258, 951
• LCM of 258, 271, 512, 835, 389

1. What is the LCM of 468, 494, 752, 112, 386?

Answer: LCM of 468, 494, 752, 112, 386 is 2258461296.

2. How to calculate the LCM of 468, 494, 752, 112, 386?

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, 494, 752, 112, 386.

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}.