Given numbers are 495,538,520,350,582

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

The LCM of 495,538,520,350,582 is 47014367400.

Find LCM of 495,538,520,350,582 with Prime Factorization

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

2 x 3 x 5 x 33 x 269 x 52 x 35 x 97 = 47014367400

Therefore, the lowest common multiple of 495,538,520,350,582 is 47014367400.

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.

495 x 538 x 520 x 350 x 582 = 28208620440000

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.

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

538 : 1, 2, 269, 538

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

582 : 1, 2, 3, 6, 97, 194, 291, 582

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,538,520,350,582, is 1.

Now, the common factors can be found like this.

495:3x 3x 5x 11

538:2x 269

520:2x 2x 2x 5x 13

350:2x 5x 5x 7

582:2x 3x 97

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 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 28208620440000/(1x600)

LCM = 28208620440000/600

LCM = 47014367400

Thus, we can understand that the LCM of 495,538,520,350,582 is 47014367400.

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

• LCM of 418, 322, 200, 591, 512
• LCM of 345, 956, 211, 623, 174
• LCM of 753, 308, 540, 730, 142
• LCM of 694, 958, 525, 128, 367
• LCM of 576, 802, 457, 669, 640

1. What is the LCM of 495, 538, 520, 350, 582?

Answer: LCM of 495, 538, 520, 350, 582 is 47014367400.

2. How to calculate the LCM of 495, 538, 520, 350, 582?

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 495, 538, 520, 350, 582.

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}.