Given numbers are 506,437,825

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

The LCM of 506,437,825 is 721050.

Find LCM of 506,437,825 with Prime Factorization

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

11 x 23 x 2 x 19 x 75 = 721050

Therefore, the lowest common multiple of 506,437,825 is 721050.

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.

506 x 437 x 825 = 182425650

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

437 : 1, 19, 23, 437

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,437,825, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

437:19x 23

825:3x 5x 5x 11

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

11x 23 = 253

Therefore, the value for common factors is 253.

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 = 182425650/(1x253)

LCM = 182425650/253

LCM = 721050

Thus, we can understand that the LCM of 506,437,825 is 721050.

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

• LCM of 926, 774, 674
• LCM of 616, 293, 661
• LCM of 345, 924, 804
• LCM of 933, 420, 160
• LCM of 327, 683, 673

1. What is the LCM of 506, 437, 825?

Answer: LCM of 506, 437, 825 is 721050.

2. How to calculate the LCM of 506, 437, 825?

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 506, 437, 825.

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}.