Given numbers are 234,349,476,466,714

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

The LCM of 234,349,476,466,714 is 4528706364.

Find LCM of 234,349,476,466,714 with Prime Factorization

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

2 x 3 x 7 x 17 x 39 x 349 x 2 x 233 x 1 = 4528706364

Therefore, the lowest common multiple of 234,349,476,466,714 is 4528706364.

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 349 x 476 x 466 x 714 = 12933985375584

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

349 : 1, 349

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

466 : 1, 2, 233, 466

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,349,476,466,714, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

349:349

476:2x 2x 7x 17

466:2x 233

714:2x 3x 7x 17

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 7x 17 = 2856

Therefore, the value for common factors is 2856.

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 = 12933985375584/(1x2856)

LCM = 12933985375584/2856

LCM = 4528706364

Thus, we can understand that the LCM of 234,349,476,466,714 is 4528706364.

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

• LCM of 996, 182, 757, 980, 184
• LCM of 462, 463, 947, 604, 567
• LCM of 331, 255, 217, 780, 571
• LCM of 818, 428, 598, 939, 405
• LCM of 735, 113, 186, 206, 184

1. What is the LCM of 234, 349, 476, 466, 714?

Answer: LCM of 234, 349, 476, 466, 714 is 4528706364.

2. How to calculate the LCM of 234, 349, 476, 466, 714?

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, 349, 476, 466, 714.

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}.