Given numbers are 989,423,312

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

The LCM of 989,423,312 is 43508088.

Find LCM of 989,423,312 with Prime Factorization

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

3 x 989 x 141 x 104 = 43508088

Therefore, the lowest common multiple of 989,423,312 is 43508088.

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.

989 x 423 x 312 = 130524264

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.

989 : 1, 23, 43, 989

423 : 1, 3, 9, 47, 141, 423

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,423,312, is 1.

Now, the common factors can be found like this.

989:23x 43

423:3x 3x 47

312:2x 2x 2x 3x 13

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

3 = 3

Therefore, the value for common factors is 3.

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 = 130524264/(1x3)

LCM = 130524264/3

LCM = 43508088

Thus, we can understand that the LCM of 989,423,312 is 43508088.

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

• LCM of 273, 624, 895
• LCM of 752, 488, 858
• LCM of 593, 555, 939
• LCM of 601, 414, 204
• LCM of 696, 202, 743

1. What is the LCM of 989, 423, 312?

Answer: LCM of 989, 423, 312 is 43508088.

2. How to calculate the LCM of 989, 423, 312?

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 989, 423, 312.

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}.