Given numbers are 426,802,214,228

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

The LCM of 426,802,214,228 is 694578516.

Find LCM of 426,802,214,228 with Prime Factorization

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

2 x 3 x 71 x 401 x 107 x 38 = 694578516

Therefore, the lowest common multiple of 426,802,214,228 is 694578516.

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.

426 x 802 x 214 x 228 = 16669884384

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

802 : 1, 2, 401, 802

214 : 1, 2, 107, 214

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,802,214,228, is 2.

Now, the common factors can be found like this.

426:2x 3x 71

802:2x 401

214:2x 107

228:2x 2x 3x 19

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 3 = 12

Therefore, the value for common factors is 12.

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 = 16669884384/(2x12)

LCM = 16669884384/24

LCM = 694578516

Thus, we can understand that the LCM of 426,802,214,228 is 694578516.

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

• LCM of 749, 684, 322, 302
• LCM of 216, 757, 832, 212
• LCM of 718, 631, 704, 469
• LCM of 895, 306, 477, 188
• LCM of 854, 764, 532, 408

1. What is the LCM of 426, 802, 214, 228?

Answer: LCM of 426, 802, 214, 228 is 694578516.

2. How to calculate the LCM of 426, 802, 214, 228?

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 426, 802, 214, 228.

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}.