Given numbers are 504,876,114,988

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

The LCM of 504,876,114,988 is 9087624.

Find LCM of 504,876,114,988 with Prime Factorization

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

2 x 2 x 3 x 19 x 42 x 73 x 1 x 13 = 9087624

Therefore, the lowest common multiple of 504,876,114,988 is 9087624.

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 876 x 114 x 988 = 49727478528

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

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

114 : 1, 2, 3, 6, 19, 38, 57, 114

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,876,114,988, is 2.

Now, the common factors can be found like this.

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

876:2x 2x 3x 73

114:2x 3x 19

988:2x 2x 13x 19

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 19 = 2736

Therefore, the value for common factors is 2736.

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 = 49727478528/(2x2736)

LCM = 49727478528/5472

LCM = 9087624

Thus, we can understand that the LCM of 504,876,114,988 is 9087624.

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

• LCM of 712, 160, 760, 333
• LCM of 141, 168, 874, 746
• LCM of 567, 607, 969, 310
• LCM of 250, 220, 350, 323
• LCM of 919, 599, 156, 482

1. What is the LCM of 504, 876, 114, 988?

Answer: LCM of 504, 876, 114, 988 is 9087624.

2. How to calculate the LCM of 504, 876, 114, 988?

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, 876, 114, 988.

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}.