Given numbers are 234,692,867,487,214

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

The LCM of 234,692,867,487,214 is 1219277438964.

Find LCM of 234,692,867,487,214 with Prime Factorization

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

2 x 3 x 39 x 346 x 289 x 487 x 107 = 1219277438964

Therefore, the lowest common multiple of 234,692,867,487,214 is 1219277438964.

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.

234 x 692 x 867 x 487 x 214 = 14631329267568

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

692 : 1, 2, 4, 173, 346, 692

867 : 1, 3, 17, 51, 289, 867

487 : 1, 487

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,692,867,487,214, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

692:2x 2x 173

867:3x 17x 17

487:487

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 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 = 14631329267568/(1x12)

LCM = 14631329267568/12

LCM = 1219277438964

Thus, we can understand that the LCM of 234,692,867,487,214 is 1219277438964.

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

• LCM of 392, 430, 991, 556, 725
• LCM of 384, 460, 172, 864, 310
• LCM of 806, 897, 891, 792, 923
• LCM of 363, 482, 280, 301, 257
• LCM of 252, 851, 286, 930, 959

1. What is the LCM of 234, 692, 867, 487, 214?

Answer: LCM of 234, 692, 867, 487, 214 is 1219277438964.

2. How to calculate the LCM of 234, 692, 867, 487, 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 234, 692, 867, 487, 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}.