Given numbers are 429,491,414,107,204

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

The LCM of 429,491,414,107,204 is 105750046116.

Find LCM of 429,491,414,107,204 with Prime Factorization

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

2 x 3 x 143 x 491 x 69 x 107 x 34 = 105750046116

Therefore, the lowest common multiple of 429,491,414,107,204 is 105750046116.

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.

429 x 491 x 414 x 107 x 204 = 1903500830088

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.

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

491 : 1, 491

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

107 : 1, 107

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,491,414,107,204, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

491:491

414:2x 3x 3x 23

107:107

204:2x 2x 3x 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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 1903500830088/(1x18)

LCM = 1903500830088/18

LCM = 105750046116

Thus, we can understand that the LCM of 429,491,414,107,204 is 105750046116.

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

• LCM of 760, 312, 874, 764, 520
• LCM of 563, 395, 419, 452, 742
• LCM of 666, 542, 361, 270, 400
• LCM of 390, 838, 344, 992, 567
• LCM of 104, 273, 519, 117, 835

1. What is the LCM of 429, 491, 414, 107, 204?

Answer: LCM of 429, 491, 414, 107, 204 is 105750046116.

2. How to calculate the LCM of 429, 491, 414, 107, 204?

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 429, 491, 414, 107, 204.

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}.