Given numbers are 78,29,46,46,989

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

The LCM of 78,29,46,46,989 is 2237118.

Find LCM of 78,29,46,46,989 with Prime Factorization

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

2 x 23 x 39 x 29 x 1 x 1 x 43 = 2237118

Therefore, the lowest common multiple of 78,29,46,46,989 is 2237118.

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.

78 x 29 x 46 x 46 x 989 = 4733741688

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.

78 : 1, 2, 3, 6, 13, 26, 39, 78

29 : 1, 29

46 : 1, 2, 23, 46

46 : 1, 2, 23, 46

989 : 1, 23, 43, 989

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 78,29,46,46,989, is 1.

Now, the common factors can be found like this.

78:2x 3x 13

29:29

46:2x 23

46:2x 23

989:23x 43

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 23x 23 = 2116

Therefore, the value for common factors is 2116.

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 = 4733741688/(1x2116)

LCM = 4733741688/2116

LCM = 2237118

Thus, we can understand that the LCM of 78,29,46,46,989 is 2237118.

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

• LCM of 36, 28, 47, 53, 431
• LCM of 55, 42, 71, 80, 607
• LCM of 40, 43, 18, 77, 551
• LCM of 60, 13, 13, 51, 162
• LCM of 19, 36, 16, 90, 242

1. What is the LCM of 78, 29, 46, 46, 989?

Answer: LCM of 78, 29, 46, 46, 989 is 2237118.

2. How to calculate the LCM of 78, 29, 46, 46, 989?

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 78, 29, 46, 46, 989.

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}.