Given numbers are 135,920,293,988,796

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

The LCM of 135,920,293,988,796 is 357741432360.

Find LCM of 135,920,293,988,796 with Prime Factorization

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

2 x 2 x 5 x 27 x 46 x 293 x 247 x 199 = 357741432360

Therefore, the lowest common multiple of 135,920,293,988,796 is 357741432360.

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.

135 x 920 x 293 x 988 x 796 = 28619314588800

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.

135 : 1, 3, 5, 9, 15, 27, 45, 135

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

293 : 1, 293

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

796 : 1, 2, 4, 199, 398, 796

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,920,293,988,796, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

920:2x 2x 2x 5x 23

293:293

988:2x 2x 13x 19

796:2x 2x 199

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 5 = 80

Therefore, the value for common factors is 80.

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 = 28619314588800/(1x80)

LCM = 28619314588800/80

LCM = 357741432360

Thus, we can understand that the LCM of 135,920,293,988,796 is 357741432360.

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

• LCM of 529, 689, 720, 837, 465
• LCM of 300, 256, 345, 268, 265
• LCM of 598, 122, 722, 576, 716
• LCM of 715, 958, 125, 392, 923
• LCM of 334, 990, 978, 991, 174

1. What is the LCM of 135, 920, 293, 988, 796?

Answer: LCM of 135, 920, 293, 988, 796 is 357741432360.

2. How to calculate the LCM of 135, 920, 293, 988, 796?

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 135, 920, 293, 988, 796.

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}.