Given numbers are 504,774,923,135,375

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

The LCM of 504,774,923,135,375 is 7501221000.

Find LCM of 504,774,923,135,375 with Prime Factorization

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

2 x 3 x 3 x 5 x 28 x 43 x 923 x 3 x 25 = 7501221000

Therefore, the lowest common multiple of 504,774,923,135,375 is 7501221000.

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.

504 x 774 x 923 x 135 x 375 = 18227967030000

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.

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

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

923 : 1, 13, 71, 923

135 : 1, 3, 5, 9, 15, 27, 45, 135

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,774,923,135,375, is 1.

Now, the common factors can be found like this.

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

774:2x 3x 3x 43

923:13x 71

135:3x 3x 3x 5

375:3x 5x 5x 5

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

2x 3x 3x 3x 3x 3x 5 = 2430

Therefore, the value for common factors is 2430.

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 = 18227967030000/(1x2430)

LCM = 18227967030000/2430

LCM = 7501221000

Thus, we can understand that the LCM of 504,774,923,135,375 is 7501221000.

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

• LCM of 301, 257, 897, 667, 184
• LCM of 866, 987, 499, 242, 688
• LCM of 997, 701, 268, 798, 200
• LCM of 301, 309, 434, 762, 662
• LCM of 819, 203, 678, 705, 268

1. What is the LCM of 504, 774, 923, 135, 375?

Answer: LCM of 504, 774, 923, 135, 375 is 7501221000.

2. How to calculate the LCM of 504, 774, 923, 135, 375?

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 504, 774, 923, 135, 375.

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}.