Given numbers are 282,375,823,504,552

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

The LCM of 282,375,823,504,552 is 56048769000.

Find LCM of 282,375,823,504,552 with Prime Factorization

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

2 x 2 x 2 x 3 x 47 x 125 x 823 x 21 x 23 = 56048769000

Therefore, the lowest common multiple of 282,375,823,504,552 is 56048769000.

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.

282 x 375 x 823 x 504 x 552 = 24213068208000

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.

282 : 1, 2, 3, 6, 47, 94, 141, 282

375 : 1, 3, 5, 15, 25, 75, 125, 375

823 : 1, 823

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,375,823,504,552, is 1.

Now, the common factors can be found like this.

282:2x 3x 47

375:3x 5x 5x 5

823:823

504:2x 2x 2x 3x 3x 7

552:2x 2x 2x 3x 23

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 24213068208000/(1x432)

LCM = 24213068208000/432

LCM = 56048769000

Thus, we can understand that the LCM of 282,375,823,504,552 is 56048769000.

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

• LCM of 823, 863, 801, 739, 957
• LCM of 290, 691, 478, 913, 933
• LCM of 253, 760, 195, 643, 110
• LCM of 786, 568, 995, 501, 825
• LCM of 765, 953, 924, 121, 615

1. What is the LCM of 282, 375, 823, 504, 552?

Answer: LCM of 282, 375, 823, 504, 552 is 56048769000.

2. How to calculate the LCM of 282, 375, 823, 504, 552?

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 282, 375, 823, 504, 552.

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}.