Given numbers are 433,438,507,362

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

The LCM of 433,438,507,362 is 5801326206.

Find LCM of 433,438,507,362 with Prime Factorization

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

2 x 3 x 433 x 73 x 169 x 181 = 5801326206

Therefore, the lowest common multiple of 433,438,507,362 is 5801326206.

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.

433 x 438 x 507 x 362 = 34807957236

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.

433 : 1, 433

438 : 1, 2, 3, 6, 73, 146, 219, 438

507 : 1, 3, 13, 39, 169, 507

362 : 1, 2, 181, 362

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,438,507,362, is 1.

Now, the common factors can be found like this.

433:433

438:2x 3x 73

507:3x 13x 13

362:2x 181

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 34807957236/(1x6)

LCM = 34807957236/6

LCM = 5801326206

Thus, we can understand that the LCM of 433,438,507,362 is 5801326206.

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

• LCM of 605, 307, 370, 269
• LCM of 650, 995, 937, 540
• LCM of 647, 288, 898, 798
• LCM of 329, 655, 638, 147
• LCM of 742, 305, 719, 270

1. What is the LCM of 433, 438, 507, 362?

Answer: LCM of 433, 438, 507, 362 is 5801326206.

2. How to calculate the LCM of 433, 438, 507, 362?

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 433, 438, 507, 362.

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}.