Given numbers are 504,438,644,532

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

The LCM of 504,438,644,532 is 16078104.

Find LCM of 504,438,644,532 with Prime Factorization

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

2 x 2 x 3 x 7 x 6 x 73 x 23 x 19 = 16078104

Therefore, the lowest common multiple of 504,438,644,532 is 16078104.

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 438 x 644 x 532 = 75631401216

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

438 : 1, 2, 3, 6, 73, 146, 219, 438

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,438,644,532, is 2.

Now, the common factors can be found like this.

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

438:2x 3x 73

644:2x 2x 7x 23

532:2x 2x 7x 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 7x 7 = 2352

Therefore, the value for common factors is 2352.

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 = 75631401216/(2x2352)

LCM = 75631401216/4704

LCM = 16078104

Thus, we can understand that the LCM of 504,438,644,532 is 16078104.

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

• LCM of 914, 123, 905, 310
• LCM of 475, 217, 498, 434
• LCM of 779, 764, 878, 813
• LCM of 542, 306, 703, 803
• LCM of 249, 664, 997, 989

1. What is the LCM of 504, 438, 644, 532?

Answer: LCM of 504, 438, 644, 532 is 16078104.

2. How to calculate the LCM of 504, 438, 644, 532?

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, 438, 644, 532.

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}.