Given numbers are 492,177,988,592,738

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

The LCM of 492,177,988,592,738 is 3183442704.

Find LCM of 492,177,988,592,738 with Prime Factorization

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

2 x 2 x 3 x 41 x 1 x 59 x 247 x 148 x 3 = 3183442704

Therefore, the lowest common multiple of 492,177,988,592,738 is 3183442704.

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.

492 x 177 x 988 x 592 x 738 = 37590091448832

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.

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

177 : 1, 3, 59, 177

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,177,988,592,738, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

177:3x 59

988:2x 2x 13x 19

592:2x 2x 2x 2x 37

738:2x 3x 3x 41

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 3x 41 = 11808

Therefore, the value for common factors is 11808.

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 = 37590091448832/(1x11808)

LCM = 37590091448832/11808

LCM = 3183442704

Thus, we can understand that the LCM of 492,177,988,592,738 is 3183442704.

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

• LCM of 996, 519, 115, 962, 866
• LCM of 407, 875, 921, 494, 452
• LCM of 285, 711, 445, 847, 413
• LCM of 718, 870, 512, 354, 674
• LCM of 376, 262, 401, 488, 640

1. What is the LCM of 492, 177, 988, 592, 738?

Answer: LCM of 492, 177, 988, 592, 738 is 3183442704.

2. How to calculate the LCM of 492, 177, 988, 592, 738?

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 492, 177, 988, 592, 738.

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}.