Given numbers are 138,135,505,215,987

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

The LCM of 138,135,505,215,987 is 8873139870.

Find LCM of 138,135,505,215,987 with Prime Factorization

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

3 x 5 x 46 x 9 x 101 x 43 x 329 = 8873139870

Therefore, the lowest common multiple of 138,135,505,215,987 is 8873139870.

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.

138 x 135 x 505 x 215 x 987 = 1996456470750

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

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

505 : 1, 5, 101, 505

215 : 1, 5, 43, 215

987 : 1, 3, 7, 21, 47, 141, 329, 987

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,135,505,215,987, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

135:3x 3x 3x 5

505:5x 101

215:5x 43

987:3x 7x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 5x 5 = 225

Therefore, the value for common factors is 225.

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 = 1996456470750/(1x225)

LCM = 1996456470750/225

LCM = 8873139870

Thus, we can understand that the LCM of 138,135,505,215,987 is 8873139870.

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

• LCM of 784, 227, 810, 814, 225
• LCM of 133, 298, 142, 688, 103
• LCM of 976, 679, 281, 690, 483
• LCM of 948, 205, 460, 717, 348
• LCM of 725, 170, 162, 370, 166

1. What is the LCM of 138, 135, 505, 215, 987?

Answer: LCM of 138, 135, 505, 215, 987 is 8873139870.

2. How to calculate the LCM of 138, 135, 505, 215, 987?

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 138, 135, 505, 215, 987.

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}.