Given numbers are 393,212,296,138

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

The LCM of 393,212,296,138 is 141803832.

Find LCM of 393,212,296,138 with Prime Factorization

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

2 x 2 x 3 x 131 x 53 x 74 x 23 = 141803832

Therefore, the lowest common multiple of 393,212,296,138 is 141803832.

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.

393 x 212 x 296 x 138 = 3403291968

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.

393 : 1, 3, 131, 393

212 : 1, 2, 4, 53, 106, 212

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,212,296,138, is 1.

Now, the common factors can be found like this.

393:3x 131

212:2x 2x 53

296:2x 2x 2x 37

138:2x 3x 23

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 3 = 24

Therefore, the value for common factors is 24.

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 = 3403291968/(1x24)

LCM = 3403291968/24

LCM = 141803832

Thus, we can understand that the LCM of 393,212,296,138 is 141803832.

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

• LCM of 504, 768, 860, 814
• LCM of 536, 569, 617, 309
• LCM of 290, 758, 700, 810
• LCM of 192, 462, 288, 821
• LCM of 562, 303, 168, 486

1. What is the LCM of 393, 212, 296, 138?

Answer: LCM of 393, 212, 296, 138 is 141803832.

2. How to calculate the LCM of 393, 212, 296, 138?

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 393, 212, 296, 138.

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}.