Given numbers are 568,268,504,540,682

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

The LCM of 568,268,504,540,682 is 12263355720.

Find LCM of 568,268,504,540,682 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 71 x 67 x 7 x 15 x 341 = 12263355720

Therefore, the lowest common multiple of 568,268,504,540,682 is 12263355720.

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.

568 x 268 x 504 x 540 x 682 = 28254771578880

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.

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

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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

682 : 1, 2, 11, 22, 31, 62, 341, 682

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,268,504,540,682, is 2.

Now, the common factors can be found like this.

568:2x 2x 2x 71

268:2x 2x 67

504:2x 2x 2x 3x 3x 7

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

682:2x 11x 31

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 2x 3x 3 = 1152

Therefore, the value for common factors is 1152.

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 = 28254771578880/(2x1152)

LCM = 28254771578880/2304

LCM = 12263355720

Thus, we can understand that the LCM of 568,268,504,540,682 is 12263355720.

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

• LCM of 593, 215, 573, 342, 192
• LCM of 146, 542, 657, 978, 828
• LCM of 240, 294, 162, 196, 860
• LCM of 928, 878, 542, 385, 276
• LCM of 867, 490, 285, 265, 829

1. What is the LCM of 568, 268, 504, 540, 682?

Answer: LCM of 568, 268, 504, 540, 682 is 12263355720.

2. How to calculate the LCM of 568, 268, 504, 540, 682?

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 568, 268, 504, 540, 682.

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}.