Given numbers are 504,972,237,327,835

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

The LCM of 504,972,237,327,835 is 97844037480.

Find LCM of 504,972,237,327,835 with Prime Factorization

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

2 x 2 x 3 x 3 x 14 x 27 x 79 x 109 x 835 = 97844037480

Therefore, the lowest common multiple of 504,972,237,327,835 is 97844037480.

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 972 x 237 x 327 x 835 = 31701468143520

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

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

237 : 1, 3, 79, 237

327 : 1, 3, 109, 327

835 : 1, 5, 167, 835

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,972,237,327,835, is 1.

Now, the common factors can be found like this.

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

972:2x 2x 3x 3x 3x 3x 3

237:3x 79

327:3x 109

835:5x 167

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 3x 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 31701468143520/(1x324)

LCM = 31701468143520/324

LCM = 97844037480

Thus, we can understand that the LCM of 504,972,237,327,835 is 97844037480.

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

• LCM of 802, 786, 796, 492, 985
• LCM of 655, 612, 188, 131, 818
• LCM of 582, 364, 858, 977, 796
• LCM of 597, 654, 220, 705, 231
• LCM of 172, 498, 517, 425, 365

1. What is the LCM of 504, 972, 237, 327, 835?

Answer: LCM of 504, 972, 237, 327, 835 is 97844037480.

2. How to calculate the LCM of 504, 972, 237, 327, 835?

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, 972, 237, 327, 835.

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}.