Given numbers are 214,949,416,428

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

The LCM of 214,949,416,428 is 3249376.

Find LCM of 214,949,416,428 with Prime Factorization

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

2 x 2 x 13 x 107 x 1 x 73 x 8 x 1 = 3249376

Therefore, the lowest common multiple of 214,949,416,428 is 3249376.

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.

214 x 949 x 416 x 428 = 36159056128

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.

214 : 1, 2, 107, 214

949 : 1, 13, 73, 949

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,949,416,428, is 1.

Now, the common factors can be found like this.

214:2x 107

949:13x 73

416:2x 2x 2x 2x 2x 13

428:2x 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 2x 2x 13x 107 = 11128

Therefore, the value for common factors is 11128.

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 = 36159056128/(1x11128)

LCM = 36159056128/11128

LCM = 3249376

Thus, we can understand that the LCM of 214,949,416,428 is 3249376.

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

• LCM of 326, 303, 794, 422
• LCM of 666, 895, 110, 781
• LCM of 356, 923, 909, 499
• LCM of 658, 485, 663, 333
• LCM of 580, 655, 785, 529

1. What is the LCM of 214, 949, 416, 428?

Answer: LCM of 214, 949, 416, 428 is 3249376.

2. How to calculate the LCM of 214, 949, 416, 428?

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 214, 949, 416, 428.

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}.