Given numbers are 892,900,252,354,387

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

The LCM of 892,900,252,354,387 is 3564231300.

Find LCM of 892,900,252,354,387 with Prime Factorization

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

2 x 2 x 3 x 3 x 223 x 25 x 7 x 59 x 43 = 3564231300

Therefore, the lowest common multiple of 892,900,252,354,387 is 3564231300.

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.

892 x 900 x 252 x 354 x 387 = 27715462588800

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.

892 : 1, 2, 4, 223, 446, 892

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

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

354 : 1, 2, 3, 6, 59, 118, 177, 354

387 : 1, 3, 9, 43, 129, 387

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,900,252,354,387, is 1.

Now, the common factors can be found like this.

892:2x 2x 223

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

252:2x 2x 3x 3x 7

354:2x 3x 59

387:3x 3x 43

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 2x 2x 2x 3x 3x 3x 3x 3 = 7776

Therefore, the value for common factors is 7776.

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 = 27715462588800/(1x7776)

LCM = 27715462588800/7776

LCM = 3564231300

Thus, we can understand that the LCM of 892,900,252,354,387 is 3564231300.

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

• LCM of 301, 404, 386, 266, 177
• LCM of 752, 712, 532, 644, 664
• LCM of 205, 363, 628, 239, 170
• LCM of 727, 319, 604, 399, 845
• LCM of 600, 991, 261, 839, 416

1. What is the LCM of 892, 900, 252, 354, 387?

Answer: LCM of 892, 900, 252, 354, 387 is 3564231300.

2. How to calculate the LCM of 892, 900, 252, 354, 387?

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 892, 900, 252, 354, 387.

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}.