Given numbers are 168,274,456,239,228

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

The LCM of 168,274,456,239,228 is 104515656.

Find LCM of 168,274,456,239,228 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 7 x 137 x 1 x 239 x 1 = 104515656

Therefore, the lowest common multiple of 168,274,456,239,228 is 104515656.

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.

168 x 274 x 456 x 239 x 228 = 1143819339264

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.

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

274 : 1, 2, 137, 274

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

239 : 1, 239

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,274,456,239,228, is 1.

Now, the common factors can be found like this.

168:2x 2x 2x 3x 7

274:2x 137

456:2x 2x 2x 3x 19

239:239

228:2x 2x 3x 19

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 3x 19 = 10944

Therefore, the value for common factors is 10944.

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 = 1143819339264/(1x10944)

LCM = 1143819339264/10944

LCM = 104515656

Thus, we can understand that the LCM of 168,274,456,239,228 is 104515656.

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

• LCM of 725, 468, 414, 909, 949
• LCM of 537, 823, 814, 230, 250
• LCM of 355, 954, 472, 829, 297
• LCM of 441, 539, 357, 191, 155
• LCM of 151, 427, 510, 561, 527

1. What is the LCM of 168, 274, 456, 239, 228?

Answer: LCM of 168, 274, 456, 239, 228 is 104515656.

2. How to calculate the LCM of 168, 274, 456, 239, 228?

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 168, 274, 456, 239, 228.

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}.