Given numbers are 497,588,546,429,163

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

The LCM of 497,588,546,429,163 is 973104132.

Find LCM of 497,588,546,429,163 with Prime Factorization

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

2 x 3 x 7 x 13 x 71 x 14 x 1 x 11 x 163 = 973104132

Therefore, the lowest common multiple of 497,588,546,429,163 is 973104132.

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.

497 x 588 x 546 x 429 x 163 = 11157611977512

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.

497 : 1, 7, 71, 497

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

429 : 1, 3, 11, 13, 33, 39, 143, 429

163 : 1, 163

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,588,546,429,163, is 1.

Now, the common factors can be found like this.

497:7x 71

588:2x 2x 3x 7x 7

546:2x 3x 7x 13

429:3x 11x 13

163:163

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 7x 7x 13 = 11466

Therefore, the value for common factors is 11466.

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 = 11157611977512/(1x11466)

LCM = 11157611977512/11466

LCM = 973104132

Thus, we can understand that the LCM of 497,588,546,429,163 is 973104132.

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

• LCM of 733, 188, 912, 218, 164
• LCM of 676, 907, 114, 915, 188
• LCM of 488, 852, 856, 313, 711
• LCM of 174, 360, 948, 996, 246
• LCM of 864, 692, 395, 913, 904

1. What is the LCM of 497, 588, 546, 429, 163?

Answer: LCM of 497, 588, 546, 429, 163 is 973104132.

2. How to calculate the LCM of 497, 588, 546, 429, 163?

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 497, 588, 546, 429, 163.

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}.