Given numbers are 138,321,219,837

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

The LCM of 138,321,219,837 is 300739122.

Find LCM of 138,321,219,837 with Prime Factorization

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

3 x 46 x 107 x 73 x 279 = 300739122

Therefore, the lowest common multiple of 138,321,219,837 is 300739122.

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 321 x 219 x 837 = 8119956294

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

321 : 1, 3, 107, 321

219 : 1, 3, 73, 219

837 : 1, 3, 9, 27, 31, 93, 279, 837

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,321,219,837, is 3.

Now, the common factors can be found like this.

138:2x 3x 23

321:3x 107

219:3x 73

837:3x 3x 3x 31

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 8119956294/(3x9)

LCM = 8119956294/27

LCM = 300739122

Thus, we can understand that the LCM of 138,321,219,837 is 300739122.

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

• LCM of 827, 395, 289, 923
• LCM of 400, 726, 797, 253
• LCM of 295, 461, 516, 868
• LCM of 311, 800, 655, 573
• LCM of 614, 572, 496, 874

1. What is the LCM of 138, 321, 219, 837?

Answer: LCM of 138, 321, 219, 837 is 300739122.

2. How to calculate the LCM of 138, 321, 219, 837?

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, 321, 219, 837.

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}.