Given numbers are 218,222,102,135

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

The LCM of 218,222,102,135 is 18511470.

Find LCM of 218,222,102,135 with Prime Factorization

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

2 x 3 x 109 x 37 x 17 x 45 = 18511470

Therefore, the lowest common multiple of 218,222,102,135 is 18511470.

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.

218 x 222 x 102 x 135 = 666412920

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.

218 : 1, 2, 109, 218

222 : 1, 2, 3, 6, 37, 74, 111, 222

102 : 1, 2, 3, 6, 17, 34, 51, 102

135 : 1, 3, 5, 9, 15, 27, 45, 135

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,222,102,135, is 1.

Now, the common factors can be found like this.

218:2x 109

222:2x 3x 37

102:2x 3x 17

135:3x 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 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 666412920/(1x36)

LCM = 666412920/36

LCM = 18511470

Thus, we can understand that the LCM of 218,222,102,135 is 18511470.

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

• LCM of 723, 172, 610, 141
• LCM of 754, 891, 655, 140
• LCM of 976, 899, 830, 362
• LCM of 305, 931, 666, 314
• LCM of 654, 883, 131, 790

1. What is the LCM of 218, 222, 102, 135?

Answer: LCM of 218, 222, 102, 135 is 18511470.

2. How to calculate the LCM of 218, 222, 102, 135?

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 218, 222, 102, 135.

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}.