Given numbers are 234,138,368,272,502

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

The LCM of 234,138,368,272,502 is 183719952.

Find LCM of 234,138,368,272,502 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 23 x 39 x 1 x 1 x 17 x 251 = 183719952

Therefore, the lowest common multiple of 234,138,368,272,502 is 183719952.

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.

234 x 138 x 368 x 272 x 502 = 1622614616064

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

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

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

502 : 1, 2, 251, 502

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,138,368,272,502, is 2.

Now, the common factors can be found like this.

234:2x 3x 3x 13

138:2x 3x 23

368:2x 2x 2x 2x 23

272:2x 2x 2x 2x 17

502:2x 251

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 2x 2x 2x 3x 23 = 4416

Therefore, the value for common factors is 4416.

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 = 1622614616064/(2x4416)

LCM = 1622614616064/8832

LCM = 183719952

Thus, we can understand that the LCM of 234,138,368,272,502 is 183719952.

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

• LCM of 607, 297, 625, 819, 277
• LCM of 936, 634, 546, 595, 798
• LCM of 679, 226, 416, 482, 189
• LCM of 165, 905, 988, 397, 158
• LCM of 971, 417, 923, 818, 193

1. What is the LCM of 234, 138, 368, 272, 502?

Answer: LCM of 234, 138, 368, 272, 502 is 183719952.

2. How to calculate the LCM of 234, 138, 368, 272, 502?

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 234, 138, 368, 272, 502.

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}.