Given numbers are 154,211,684,218,208

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

The LCM of 154,211,684,218,208 is 62988189264.

Find LCM of 154,211,684,218,208 with Prime Factorization

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

2 x 2 x 77 x 211 x 171 x 109 x 52 = 62988189264

Therefore, the lowest common multiple of 154,211,684,218,208 is 62988189264.

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.

154 x 211 x 684 x 218 x 208 = 1007811028224

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.

154 : 1, 2, 7, 11, 14, 22, 77, 154

211 : 1, 211

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

218 : 1, 2, 109, 218

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,211,684,218,208, is 1.

Now, the common factors can be found like this.

154:2x 7x 11

211:211

684:2x 2x 3x 3x 19

218:2x 109

208:2x 2x 2x 2x 13

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 1007811028224/(1x16)

LCM = 1007811028224/16

LCM = 62988189264

Thus, we can understand that the LCM of 154,211,684,218,208 is 62988189264.

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

• LCM of 956, 622, 539, 541, 379
• LCM of 468, 384, 321, 711, 520
• LCM of 340, 556, 975, 577, 143
• LCM of 294, 415, 503, 742, 630
• LCM of 211, 188, 936, 328, 338

1. What is the LCM of 154, 211, 684, 218, 208?

Answer: LCM of 154, 211, 684, 218, 208 is 62988189264.

2. How to calculate the LCM of 154, 211, 684, 218, 208?

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 154, 211, 684, 218, 208.

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}.