Given numbers are 342,758,540,225,429

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

The LCM of 342,758,540,225,429 is 2780306100.

Find LCM of 342,758,540,225,429 with Prime Factorization

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

2 x 3 x 3 x 5 x 19 x 379 x 6 x 5 x 143 = 2780306100

Therefore, the lowest common multiple of 342,758,540,225,429 is 2780306100.

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.

342 x 758 x 540 x 225 x 429 = 13512287646000

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.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

758 : 1, 2, 379, 758

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,758,540,225,429, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

758:2x 379

540:2x 2x 3x 3x 3x 5

225:3x 3x 5x 5

429:3x 11x 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 3x 3x 3x 3x 3x 5 = 4860

Therefore, the value for common factors is 4860.

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 = 13512287646000/(1x4860)

LCM = 13512287646000/4860

LCM = 2780306100

Thus, we can understand that the LCM of 342,758,540,225,429 is 2780306100.

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

• LCM of 533, 947, 132, 300, 390
• LCM of 558, 115, 652, 227, 585
• LCM of 922, 403, 210, 114, 197
• LCM of 941, 962, 946, 552, 998
• LCM of 118, 414, 991, 925, 762

1. What is the LCM of 342, 758, 540, 225, 429?

Answer: LCM of 342, 758, 540, 225, 429 is 2780306100.

2. How to calculate the LCM of 342, 758, 540, 225, 429?

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 342, 758, 540, 225, 429.

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}.