Given numbers are 218,136,118,166

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

The LCM of 218,136,118,166 is 72593128.

Find LCM of 218,136,118,166 with Prime Factorization

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

2 x 109 x 68 x 59 x 83 = 72593128

Therefore, the lowest common multiple of 218,136,118,166 is 72593128.

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 136 x 118 x 166 = 580745024

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

136 : 1, 2, 4, 8, 17, 34, 68, 136

118 : 1, 2, 59, 118

166 : 1, 2, 83, 166

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,136,118,166, is 2.

Now, the common factors can be found like this.

218:2x 109

136:2x 2x 2x 17

118:2x 59

166:2x 83

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 580745024/(2x4)

LCM = 580745024/8

LCM = 72593128

Thus, we can understand that the LCM of 218,136,118,166 is 72593128.

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

• LCM of 469, 316, 429, 584
• LCM of 472, 602, 441, 980
• LCM of 823, 591, 450, 267
• LCM of 746, 879, 121, 602
• LCM of 895, 424, 846, 920

1. What is the LCM of 218, 136, 118, 166?

Answer: LCM of 218, 136, 118, 166 is 72593128.

2. How to calculate the LCM of 218, 136, 118, 166?

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, 136, 118, 166.

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}.