Given numbers are 667,987,268,412

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

The LCM of 667,987,268,412 is 18172513716.

Find LCM of 667,987,268,412 with Prime Factorization

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

2 x 2 x 667 x 987 x 67 x 103 = 18172513716

Therefore, the lowest common multiple of 667,987,268,412 is 18172513716.

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.

667 x 987 x 268 x 412 = 72690054864

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.

667 : 1, 23, 29, 667

987 : 1, 3, 7, 21, 47, 141, 329, 987

268 : 1, 2, 4, 67, 134, 268

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,987,268,412, is 1.

Now, the common factors can be found like this.

667:23x 29

987:3x 7x 47

268:2x 2x 67

412:2x 2x 103

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 72690054864/(1x4)

LCM = 72690054864/4

LCM = 18172513716

Thus, we can understand that the LCM of 667,987,268,412 is 18172513716.

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

• LCM of 643, 310, 861, 113
• LCM of 762, 499, 715, 837
• LCM of 901, 312, 847, 167
• LCM of 201, 481, 476, 598
• LCM of 664, 364, 914, 118

1. What is the LCM of 667, 987, 268, 412?

Answer: LCM of 667, 987, 268, 412 is 18172513716.

2. How to calculate the LCM of 667, 987, 268, 412?

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 667, 987, 268, 412.

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}.