Given numbers are 552,596,568,740

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

The LCM of 552,596,568,740 is 1080327480.

Find LCM of 552,596,568,740 with Prime Factorization

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

2 x 2 x 2 x 69 x 149 x 71 x 185 = 1080327480

Therefore, the lowest common multiple of 552,596,568,740 is 1080327480.

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.

552 x 596 x 568 x 740 = 138281917440

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.

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

596 : 1, 2, 4, 149, 298, 596

568 : 1, 2, 4, 8, 71, 142, 284, 568

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,596,568,740, is 4.

Now, the common factors can be found like this.

552:2x 2x 2x 3x 23

596:2x 2x 149

568:2x 2x 2x 71

740:2x 2x 5x 37

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 2 = 32

Therefore, the value for common factors is 32.

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 = 138281917440/(4x32)

LCM = 138281917440/128

LCM = 1080327480

Thus, we can understand that the LCM of 552,596,568,740 is 1080327480.

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

• LCM of 386, 909, 360, 265
• LCM of 264, 643, 578, 835
• LCM of 793, 212, 420, 513
• LCM of 257, 781, 403, 255
• LCM of 352, 815, 854, 138

1. What is the LCM of 552, 596, 568, 740?

Answer: LCM of 552, 596, 568, 740 is 1080327480.

2. How to calculate the LCM of 552, 596, 568, 740?

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 552, 596, 568, 740.

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}.