Given numbers are 422,749,463,214

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

The LCM of 422,749,463,214 is 146344114.

Find LCM of 422,749,463,214 with Prime Factorization

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

2 x 107 x 211 x 7 x 463 x 1 = 146344114

Therefore, the lowest common multiple of 422,749,463,214 is 146344114.

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.

422 x 749 x 463 x 214 = 31317640396

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.

422 : 1, 2, 211, 422

749 : 1, 7, 107, 749

463 : 1, 463

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,749,463,214, is 1.

Now, the common factors can be found like this.

422:2x 211

749:7x 107

463:463

214:2x 107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 31317640396/(1x214)

LCM = 31317640396/214

LCM = 146344114

Thus, we can understand that the LCM of 422,749,463,214 is 146344114.

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

• LCM of 757, 233, 513, 761
• LCM of 168, 951, 982, 268
• LCM of 441, 377, 459, 596
• LCM of 959, 531, 280, 647
• LCM of 976, 915, 407, 807

1. What is the LCM of 422, 749, 463, 214?

Answer: LCM of 422, 749, 463, 214 is 146344114.

2. How to calculate the LCM of 422, 749, 463, 214?

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 422, 749, 463, 214.

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}.