Given numbers are 900,973,351,171,381

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

The LCM of 900,973,351,171,381 is 82409499900.

Find LCM of 900,973,351,171,381 with Prime Factorization

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

3 x 3 x 100 x 973 x 39 x 19 x 127 = 82409499900

Therefore, the lowest common multiple of 900,973,351,171,381 is 82409499900.

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 973 x 351 x 171 x 381 = 20025508475700

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

973 : 1, 7, 139, 973

351 : 1, 3, 9, 13, 27, 39, 117, 351

171 : 1, 3, 9, 19, 57, 171

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,973,351,171,381, is 1.

Now, the common factors can be found like this.

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

973:7x 139

351:3x 3x 3x 13

171:3x 3x 19

381:3x 127

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 3x 3 = 243

Therefore, the value for common factors is 243.

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 = 20025508475700/(1x243)

LCM = 20025508475700/243

LCM = 82409499900

Thus, we can understand that the LCM of 900,973,351,171,381 is 82409499900.

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

• LCM of 633, 492, 366, 598, 178
• LCM of 526, 254, 165, 626, 108
• LCM of 910, 656, 878, 469, 718
• LCM of 790, 619, 616, 144, 856
• LCM of 768, 216, 349, 668, 475

1. What is the LCM of 900, 973, 351, 171, 381?

Answer: LCM of 900, 973, 351, 171, 381 is 82409499900.

2. How to calculate the LCM of 900, 973, 351, 171, 381?

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, 973, 351, 171, 381.

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}.