Given numbers are 914,161,214,361

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

The LCM of 914,161,214,361 is 5684117558.

Find LCM of 914,161,214,361 with Prime Factorization

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

2 x 457 x 161 x 107 x 361 = 5684117558

Therefore, the lowest common multiple of 914,161,214,361 is 5684117558.

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.

914 x 161 x 214 x 361 = 11368235116

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.

914 : 1, 2, 457, 914

161 : 1, 7, 23, 161

214 : 1, 2, 107, 214

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,161,214,361, is 1.

Now, the common factors can be found like this.

914:2x 457

161:7x 23

214:2x 107

361:19x 19

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

2 = 2

Therefore, the value for common factors is 2.

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 = 11368235116/(1x2)

LCM = 11368235116/2

LCM = 5684117558

Thus, we can understand that the LCM of 914,161,214,361 is 5684117558.

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

• LCM of 284, 404, 359, 379
• LCM of 684, 338, 972, 712
• LCM of 739, 610, 320, 706
• LCM of 361, 795, 635, 201
• LCM of 704, 691, 483, 807

1. What is the LCM of 914, 161, 214, 361?

Answer: LCM of 914, 161, 214, 361 is 5684117558.

2. How to calculate the LCM of 914, 161, 214, 361?

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 914, 161, 214, 361.

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}.