Given numbers are 900,349,633,129,423

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

The LCM of 900,349,633,129,423 is 133941977100.

Find LCM of 900,349,633,129,423 with Prime Factorization

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

3 x 3 x 100 x 349 x 211 x 43 x 47 = 133941977100

Therefore, the lowest common multiple of 900,349,633,129,423 is 133941977100.

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.

900 x 349 x 633 x 129 x 423 = 10849300145100

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.

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

349 : 1, 349

633 : 1, 3, 211, 633

129 : 1, 3, 43, 129

423 : 1, 3, 9, 47, 141, 423

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,349,633,129,423, is 1.

Now, the common factors can be found like this.

900:2x 2x 3x 3x 5x 5

349:349

633:3x 211

129:3x 43

423:3x 3x 47

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

3x 3x 3x 3 = 81

Therefore, the value for common factors is 81.

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 = 10849300145100/(1x81)

LCM = 10849300145100/81

LCM = 133941977100

Thus, we can understand that the LCM of 900,349,633,129,423 is 133941977100.

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

• LCM of 648, 264, 112, 312, 398
• LCM of 188, 820, 146, 956, 600
• LCM of 966, 700, 510, 273, 868
• LCM of 986, 469, 269, 948, 391
• LCM of 450, 186, 136, 278, 500

1. What is the LCM of 900, 349, 633, 129, 423?

Answer: LCM of 900, 349, 633, 129, 423 is 133941977100.

2. How to calculate the LCM of 900, 349, 633, 129, 423?

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 900, 349, 633, 129, 423.

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}.