Given numbers are 577,398,540,432,165

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

The LCM of 577,398,540,432,165 is 2728194480.

Find LCM of 577,398,540,432,165 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 5 x 577 x 199 x 1 x 4 x 11 = 2728194480

Therefore, the lowest common multiple of 577,398,540,432,165 is 2728194480.

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.

577 x 398 x 540 x 432 x 165 = 8839350115200

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.

577 : 1, 577

398 : 1, 2, 199, 398

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

165 : 1, 3, 5, 11, 15, 33, 55, 165

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,398,540,432,165, is 1.

Now, the common factors can be found like this.

577:577

398:2x 199

540:2x 2x 3x 3x 3x 5

432:2x 2x 2x 2x 3x 3x 3

165:3x 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.

2x 2x 2x 3x 3x 3x 3x 5 = 3240

Therefore, the value for common factors is 3240.

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 = 8839350115200/(1x3240)

LCM = 8839350115200/3240

LCM = 2728194480

Thus, we can understand that the LCM of 577,398,540,432,165 is 2728194480.

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

• LCM of 200, 659, 123, 280, 988
• LCM of 152, 471, 746, 111, 465
• LCM of 875, 519, 498, 593, 283
• LCM of 808, 168, 821, 747, 657
• LCM of 146, 502, 699, 355, 802

1. What is the LCM of 577, 398, 540, 432, 165?

Answer: LCM of 577, 398, 540, 432, 165 is 2728194480.

2. How to calculate the LCM of 577, 398, 540, 432, 165?

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 577, 398, 540, 432, 165.

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}.