Given numbers are 495,540,955,172,676

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

The LCM of 495,540,955,172,676 is 8244702180.

Find LCM of 495,540,955,172,676 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 11 x 3 x 191 x 43 x 169 = 8244702180

Therefore, the lowest common multiple of 495,540,955,172,676 is 8244702180.

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 540 x 955 x 172 x 676 = 29680927848000

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

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

955 : 1, 5, 191, 955

172 : 1, 2, 4, 43, 86, 172

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,540,955,172,676, is 1.

Now, the common factors can be found like this.

495:3x 3x 5x 11

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

955:5x 191

172:2x 2x 43

676:2x 2x 13x 13

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 3x 3x 5x 5 = 3600

Therefore, the value for common factors is 3600.

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 = 29680927848000/(1x3600)

LCM = 29680927848000/3600

LCM = 8244702180

Thus, we can understand that the LCM of 495,540,955,172,676 is 8244702180.

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

• LCM of 415, 596, 834, 875, 196
• LCM of 948, 922, 295, 129, 176
• LCM of 272, 124, 746, 508, 856
• LCM of 648, 190, 526, 425, 176
• LCM of 325, 589, 941, 700, 494

1. What is the LCM of 495, 540, 955, 172, 676?

Answer: LCM of 495, 540, 955, 172, 676 is 8244702180.

2. How to calculate the LCM of 495, 540, 955, 172, 676?

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, 540, 955, 172, 676.

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}.