Given numbers are 504,972,421,460,876

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

The LCM of 504,972,421,460,876 is 48094686360.

Find LCM of 504,972,421,460,876 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 421 x 115 x 73 = 48094686360

Therefore, the lowest common multiple of 504,972,421,460,876 is 48094686360.

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 421 x 460 x 876 = 83107618030080

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

421 : 1, 421

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,972,421,460,876, 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

421:421

460:2x 2x 5x 23

876:2x 2x 3x 73

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 2x 3x 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 83107618030080/(1x1728)

LCM = 83107618030080/1728

LCM = 48094686360

Thus, we can understand that the LCM of 504,972,421,460,876 is 48094686360.

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

• LCM of 234, 855, 988, 889, 962
• LCM of 633, 408, 735, 708, 892
• LCM of 495, 155, 873, 602, 910
• LCM of 281, 679, 541, 564, 101
• LCM of 699, 603, 938, 255, 576

1. What is the LCM of 504, 972, 421, 460, 876?

Answer: LCM of 504, 972, 421, 460, 876 is 48094686360.

2. How to calculate the LCM of 504, 972, 421, 460, 876?

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, 421, 460, 876.

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}.