Given numbers are 440,497,687,540,680

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

The LCM of 440,497,687,540,680 is 22985673480.

Find LCM of 440,497,687,540,680 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 11 x 497 x 229 x 9 x 17 = 22985673480

Therefore, the lowest common multiple of 440,497,687,540,680 is 22985673480.

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.

440 x 497 x 687 x 540 x 680 = 55165616352000

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.

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

497 : 1, 7, 71, 497

687 : 1, 3, 229, 687

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

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,497,687,540,680, is 1.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

497:7x 71

687:3x 229

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

680:2x 2x 2x 5x 17

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 3x 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 55165616352000/(1x2400)

LCM = 55165616352000/2400

LCM = 22985673480

Thus, we can understand that the LCM of 440,497,687,540,680 is 22985673480.

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

• LCM of 132, 672, 690, 468, 154
• LCM of 566, 136, 511, 699, 830
• LCM of 289, 373, 402, 899, 527
• LCM of 803, 971, 615, 591, 888
• LCM of 255, 247, 933, 896, 831

1. What is the LCM of 440, 497, 687, 540, 680?

Answer: LCM of 440, 497, 687, 540, 680 is 22985673480.

2. How to calculate the LCM of 440, 497, 687, 540, 680?

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 440, 497, 687, 540, 680.

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}.