Given numbers are 376,468,546,717,812

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

The LCM of 376,468,546,717,812 is 2134359864.

Find LCM of 376,468,546,717,812 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 94 x 3 x 1 x 239 x 29 = 2134359864

Therefore, the lowest common multiple of 376,468,546,717,812 is 2134359864.

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.

376 x 468 x 546 x 717 x 812 = 55937303315712

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.

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

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

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

717 : 1, 3, 239, 717

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,468,546,717,812, is 1.

Now, the common factors can be found like this.

376:2x 2x 2x 47

468:2x 2x 3x 3x 13

546:2x 3x 7x 13

717:3x 239

812:2x 2x 7x 29

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 3x 3x 7x 13 = 26208

Therefore, the value for common factors is 26208.

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 = 55937303315712/(1x26208)

LCM = 55937303315712/26208

LCM = 2134359864

Thus, we can understand that the LCM of 376,468,546,717,812 is 2134359864.

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

• LCM of 932, 546, 669, 990, 424
• LCM of 484, 301, 578, 342, 119
• LCM of 777, 790, 282, 252, 654
• LCM of 101, 332, 680, 898, 237
• LCM of 917, 396, 835, 725, 799

1. What is the LCM of 376, 468, 546, 717, 812?

Answer: LCM of 376, 468, 546, 717, 812 is 2134359864.

2. How to calculate the LCM of 376, 468, 546, 717, 812?

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 376, 468, 546, 717, 812.

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}.