Given numbers are 132,494,946,348,824

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

The LCM of 132,494,946,348,824 is 8375380728.

Find LCM of 132,494,946,348,824 with Prime Factorization

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

2 x 2 x 3 x 11 x 1 x 247 x 43 x 29 x 206 = 8375380728

Therefore, the lowest common multiple of 132,494,946,348,824 is 8375380728.

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.

132 x 494 x 946 x 348 x 824 = 17688804097536

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.

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

494 : 1, 2, 13, 19, 26, 38, 247, 494

946 : 1, 2, 11, 22, 43, 86, 473, 946

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

824 : 1, 2, 4, 8, 103, 206, 412, 824

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,494,946,348,824, is 2.

Now, the common factors can be found like this.

132:2x 2x 3x 11

494:2x 13x 19

946:2x 11x 43

348:2x 2x 3x 29

824:2x 2x 2x 103

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 11 = 1056

Therefore, the value for common factors is 1056.

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 = 17688804097536/(2x1056)

LCM = 17688804097536/2112

LCM = 8375380728

Thus, we can understand that the LCM of 132,494,946,348,824 is 8375380728.

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

• LCM of 977, 968, 151, 758, 978
• LCM of 656, 330, 524, 297, 531
• LCM of 769, 345, 948, 573, 913
• LCM of 364, 809, 155, 455, 179
• LCM of 871, 419, 838, 575, 854

1. What is the LCM of 132, 494, 946, 348, 824?

Answer: LCM of 132, 494, 946, 348, 824 is 8375380728.

2. How to calculate the LCM of 132, 494, 946, 348, 824?

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 132, 494, 946, 348, 824.

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}.