Given numbers are 87,145,149

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

The LCM of 87,145,149 is 64815.

Find LCM of 87,145,149 with Prime Factorization

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

29 x 3 x 5 x 149 = 64815

Therefore, the lowest common multiple of 87,145,149 is 64815.

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.

87 x 145 x 149 = 1879635

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.

87 : 1, 3, 29, 87

145 : 1, 5, 29, 145

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 87,145,149, is 1.

Now, the common factors can be found like this.

87:3x 29

145:5x 29

149:149

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

29 = 29

Therefore, the value for common factors is 29.

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 = 1879635/(1x29)

LCM = 1879635/29

LCM = 64815

Thus, we can understand that the LCM of 87,145,149 is 64815.

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

• LCM of 12, 103, 160
• LCM of 97, 149, 698
• LCM of 46, 854, 817
• LCM of 41, 909, 603
• LCM of 30, 622, 662

1. What is the LCM of 87, 145, 149?

Answer: LCM of 87, 145, 149 is 64815.

2. How to calculate the LCM of 87, 145, 149?

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 87, 145, 149.

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}.