Given numbers are 18,78,45

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

The LCM of 18,78,45 is 1170.

Find LCM of 18,78,45 with Prime Factorization

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

2 x 3 x 3 x 1 x 13 x 5 = 1170

Therefore, the lowest common multiple of 18,78,45 is 1170.

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.

18 x 78 x 45 = 63180

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.

18 : 1, 2, 3, 6, 9, 18

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

45 : 1, 3, 5, 9, 15, 45

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 18,78,45, is 3.

Now, the common factors can be found like this.

18:2x 3x 3

78:2x 3x 13

45:3x 3x 5

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 63180/(3x18)

LCM = 63180/54

LCM = 1170

Thus, we can understand that the LCM of 18,78,45 is 1170.

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

• LCM of 95, 87, 24
• LCM of 12, 42, 48
• LCM of 76, 34, 62
• LCM of 29, 37, 55
• LCM of 41, 24, 95

1. What is the LCM of 18, 78, 45?

Answer: LCM of 18, 78, 45 is 1170.

2. How to calculate the LCM of 18, 78, 45?

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 18, 78, 45.

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}.