Given numbers are 500,548,782,756

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

The LCM of 500,548,782,756 is 5062081500.

Find LCM of 500,548,782,756 with Prime Factorization

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

2 x 2 x 125 x 137 x 391 x 189 = 5062081500

Therefore, the lowest common multiple of 500,548,782,756 is 5062081500.

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.

500 x 548 x 782 x 756 = 161986608000

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.

500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

548 : 1, 2, 4, 137, 274, 548

782 : 1, 2, 17, 23, 34, 46, 391, 782

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 500,548,782,756, is 2.

Now, the common factors can be found like this.

500:2x 2x 5x 5x 5

548:2x 2x 137

782:2x 17x 23

756:2x 2x 3x 3x 3x 7

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 2 = 16

Therefore, the value for common factors is 16.

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 = 161986608000/(2x16)

LCM = 161986608000/32

LCM = 5062081500

Thus, we can understand that the LCM of 500,548,782,756 is 5062081500.

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

• LCM of 290, 370, 238, 929
• LCM of 752, 820, 319, 991
• LCM of 704, 113, 668, 468
• LCM of 150, 868, 565, 746
• LCM of 824, 550, 101, 628

1. What is the LCM of 500, 548, 782, 756?

Answer: LCM of 500, 548, 782, 756 is 5062081500.

2. How to calculate the LCM of 500, 548, 782, 756?

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 500, 548, 782, 756.

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}.