Given numbers are 854,214,218,915

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

The LCM of 854,214,218,915 is 149403030.

Find LCM of 854,214,218,915 with Prime Factorization

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

2 x 61 x 7 x 107 x 109 x 15 = 149403030

Therefore, the lowest common multiple of 854,214,218,915 is 149403030.

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.

854 x 214 x 218 x 915 = 36454339320

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.

854 : 1, 2, 7, 14, 61, 122, 427, 854

214 : 1, 2, 107, 214

218 : 1, 2, 109, 218

915 : 1, 3, 5, 15, 61, 183, 305, 915

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,214,218,915, is 1.

Now, the common factors can be found like this.

854:2x 7x 61

214:2x 107

218:2x 109

915:3x 5x 61

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 61 = 244

Therefore, the value for common factors is 244.

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 = 36454339320/(1x244)

LCM = 36454339320/244

LCM = 149403030

Thus, we can understand that the LCM of 854,214,218,915 is 149403030.

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

• LCM of 856, 552, 507, 898
• LCM of 688, 158, 147, 459
• LCM of 887, 776, 309, 853
• LCM of 771, 537, 984, 677
• LCM of 741, 645, 296, 714

1. What is the LCM of 854, 214, 218, 915?

Answer: LCM of 854, 214, 218, 915 is 149403030.

2. How to calculate the LCM of 854, 214, 218, 915?

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 854, 214, 218, 915.

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}.