Given numbers are 204,942,258,138,262

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

The LCM of 204,942,258,138,262 is 4149515652.

Find LCM of 204,942,258,138,262 with Prime Factorization

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

2 x 3 x 34 x 157 x 43 x 23 x 131 = 4149515652

Therefore, the lowest common multiple of 204,942,258,138,262 is 4149515652.

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.

204 x 942 x 258 x 138 x 262 = 1792590761664

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.

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

942 : 1, 2, 3, 6, 157, 314, 471, 942

258 : 1, 2, 3, 6, 43, 86, 129, 258

138 : 1, 2, 3, 6, 23, 46, 69, 138

262 : 1, 2, 131, 262

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,942,258,138,262, is 2.

Now, the common factors can be found like this.

204:2x 2x 3x 17

942:2x 3x 157

258:2x 3x 43

138:2x 3x 23

262:2x 131

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 1792590761664/(2x216)

LCM = 1792590761664/432

LCM = 4149515652

Thus, we can understand that the LCM of 204,942,258,138,262 is 4149515652.

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

• LCM of 595, 683, 807, 734, 860
• LCM of 469, 612, 399, 145, 234
• LCM of 776, 271, 538, 724, 111
• LCM of 479, 273, 178, 831, 830
• LCM of 735, 725, 196, 618, 991

1. What is the LCM of 204, 942, 258, 138, 262?

Answer: LCM of 204, 942, 258, 138, 262 is 4149515652.

2. How to calculate the LCM of 204, 942, 258, 138, 262?

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 204, 942, 258, 138, 262.

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}.