Given numbers are 947,416,908,208,214

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

The LCM of 947,416,908,208,214 is 9568700128.

Find LCM of 947,416,908,208,214 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 947 x 1 x 227 x 2 x 107 = 9568700128

Therefore, the lowest common multiple of 947,416,908,208,214 is 9568700128.

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.

947 x 416 x 908 x 208 x 214 = 15922317012992

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.

947 : 1, 947

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

908 : 1, 2, 4, 227, 454, 908

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

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 947,416,908,208,214, is 1.

Now, the common factors can be found like this.

947:947

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

908:2x 2x 227

208:2x 2x 2x 2x 13

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 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 = 15922317012992/(1x1664)

LCM = 15922317012992/1664

LCM = 9568700128

Thus, we can understand that the LCM of 947,416,908,208,214 is 9568700128.

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

• LCM of 589, 696, 473, 298, 185
• LCM of 199, 715, 758, 151, 273
• LCM of 979, 469, 298, 189, 856
• LCM of 381, 275, 814, 359, 471
• LCM of 498, 811, 437, 519, 107

1. What is the LCM of 947, 416, 908, 208, 214?

Answer: LCM of 947, 416, 908, 208, 214 is 9568700128.

2. How to calculate the LCM of 947, 416, 908, 208, 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 947, 416, 908, 208, 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}.