Given numbers are 438,213,411,415

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

The LCM of 438,213,411,415 is 1768076790.

Find LCM of 438,213,411,415 with Prime Factorization

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

3 x 146 x 71 x 137 x 415 = 1768076790

Therefore, the lowest common multiple of 438,213,411,415 is 1768076790.

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.

438 x 213 x 411 x 415 = 15912691110

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.

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

213 : 1, 3, 71, 213

411 : 1, 3, 137, 411

415 : 1, 5, 83, 415

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,213,411,415, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

213:3x 71

411:3x 137

415:5x 83

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 = 15912691110/(1x9)

LCM = 15912691110/9

LCM = 1768076790

Thus, we can understand that the LCM of 438,213,411,415 is 1768076790.

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

• LCM of 215, 936, 249, 443
• LCM of 763, 719, 309, 918
• LCM of 727, 593, 640, 939
• LCM of 464, 127, 377, 996
• LCM of 955, 180, 702, 366

1. What is the LCM of 438, 213, 411, 415?

Answer: LCM of 438, 213, 411, 415 is 1768076790.

2. How to calculate the LCM of 438, 213, 411, 415?

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 438, 213, 411, 415.

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}.