Given numbers are 532,576,644,660,268

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

The LCM of 532,576,644,660,268 is 6492911040.

Find LCM of 532,576,644,660,268 with Prime Factorization

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

2 x 2 x 3 x 7 x 19 x 48 x 23 x 55 x 67 = 6492911040

Therefore, the lowest common multiple of 532,576,644,660,268 is 6492911040.

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.

532 x 576 x 644 x 660 x 268 = 34905889751040

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.

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

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

268 : 1, 2, 4, 67, 134, 268

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,576,644,660,268, is 4.

Now, the common factors can be found like this.

532:2x 2x 7x 19

576:2x 2x 2x 2x 2x 2x 3x 3

644:2x 2x 7x 23

660:2x 2x 3x 5x 11

268:2x 2x 67

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 2x 2x 3x 7 = 1344

Therefore, the value for common factors is 1344.

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 = 34905889751040/(4x1344)

LCM = 34905889751040/5376

LCM = 6492911040

Thus, we can understand that the LCM of 532,576,644,660,268 is 6492911040.

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

• LCM of 902, 684, 457, 383, 135
• LCM of 806, 157, 434, 237, 719
• LCM of 414, 282, 817, 378, 120
• LCM of 997, 112, 878, 659, 394
• LCM of 294, 434, 486, 433, 373

1. What is the LCM of 532, 576, 644, 660, 268?

Answer: LCM of 532, 576, 644, 660, 268 is 6492911040.

2. How to calculate the LCM of 532, 576, 644, 660, 268?

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 532, 576, 644, 660, 268.

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}.