Given numbers are 431,322,138,719

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

The LCM of 431,322,138,719 is 299352774.

Find LCM of 431,322,138,719 with Prime Factorization

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

2 x 23 x 431 x 7 x 3 x 719 = 299352774

Therefore, the lowest common multiple of 431,322,138,719 is 299352774.

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.

431 x 322 x 138 x 719 = 13770227604

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.

431 : 1, 431

322 : 1, 2, 7, 14, 23, 46, 161, 322

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

719 : 1, 719

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,322,138,719, is 1.

Now, the common factors can be found like this.

431:431

322:2x 7x 23

138:2x 3x 23

719:719

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 13770227604/(1x46)

LCM = 13770227604/46

LCM = 299352774

Thus, we can understand that the LCM of 431,322,138,719 is 299352774.

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

• LCM of 326, 620, 213, 974
• LCM of 811, 898, 922, 744
• LCM of 153, 468, 365, 179
• LCM of 984, 637, 462, 545
• LCM of 473, 899, 350, 692

1. What is the LCM of 431, 322, 138, 719?

Answer: LCM of 431, 322, 138, 719 is 299352774.

2. How to calculate the LCM of 431, 322, 138, 719?

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 431, 322, 138, 719.

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}.