Given numbers are 309,412,125,242

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

The LCM of 309,412,125,242 is 18694500.

Find LCM of 309,412,125,242 with Prime Factorization

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

2 x 103 x 3 x 2 x 125 x 121 = 18694500

Therefore, the lowest common multiple of 309,412,125,242 is 18694500.

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.

309 x 412 x 125 x 242 = 3851067000

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.

309 : 1, 3, 103, 309

412 : 1, 2, 4, 103, 206, 412

125 : 1, 5, 25, 125

242 : 1, 2, 11, 22, 121, 242

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,412,125,242, is 1.

Now, the common factors can be found like this.

309:3x 103

412:2x 2x 103

125:5x 5x 5

242:2x 11x 11

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

2x 103 = 206

Therefore, the value for common factors is 206.

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 = 3851067000/(1x206)

LCM = 3851067000/206

LCM = 18694500

Thus, we can understand that the LCM of 309,412,125,242 is 18694500.

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

• LCM of 463, 195, 123, 834
• LCM of 997, 379, 256, 385
• LCM of 659, 415, 557, 788
• LCM of 926, 518, 469, 337
• LCM of 889, 170, 554, 321

1. What is the LCM of 309, 412, 125, 242?

Answer: LCM of 309, 412, 125, 242 is 18694500.

2. How to calculate the LCM of 309, 412, 125, 242?

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 309, 412, 125, 242.

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}.