Given numbers are 409,988,296,176,234

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

The LCM of 409,988,296,176,234 is 5920755984.

Find LCM of 409,988,296,176,234 with Prime Factorization

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

2 x 2 x 2 x 13 x 409 x 19 x 37 x 22 x 9 = 5920755984

Therefore, the lowest common multiple of 409,988,296,176,234 is 5920755984.

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.

409 x 988 x 296 x 176 x 234 = 4926068978688

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.

409 : 1, 409

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

296 : 1, 2, 4, 8, 37, 74, 148, 296

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,988,296,176,234, is 1.

Now, the common factors can be found like this.

409:409

988:2x 2x 13x 19

296:2x 2x 2x 37

176:2x 2x 2x 2x 11

234:2x 3x 3x 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 2x 2x 2x 13 = 832

Therefore, the value for common factors is 832.

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 = 4926068978688/(1x832)

LCM = 4926068978688/832

LCM = 5920755984

Thus, we can understand that the LCM of 409,988,296,176,234 is 5920755984.

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

• LCM of 591, 463, 693, 115, 273
• LCM of 428, 650, 921, 602, 253
• LCM of 912, 616, 978, 472, 956
• LCM of 384, 900, 438, 201, 765
• LCM of 669, 614, 973, 290, 497

1. What is the LCM of 409, 988, 296, 176, 234?

Answer: LCM of 409, 988, 296, 176, 234 is 5920755984.

2. How to calculate the LCM of 409, 988, 296, 176, 234?

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 409, 988, 296, 176, 234.

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}.