Given numbers are 438,321,492,415

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

The LCM of 438,321,492,415 is 1594849980.

Find LCM of 438,321,492,415 with Prime Factorization

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

2 x 3 x 73 x 107 x 82 x 415 = 1594849980

Therefore, the lowest common multiple of 438,321,492,415 is 1594849980.

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 321 x 492 x 415 = 28707299640

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

321 : 1, 3, 107, 321

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

415 : 1, 5, 83, 415

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,321,492,415, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

321:3x 107

492:2x 2x 3x 41

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.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 28707299640/(1x18)

LCM = 28707299640/18

LCM = 1594849980

Thus, we can understand that the LCM of 438,321,492,415 is 1594849980.

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

• LCM of 153, 476, 993, 552
• LCM of 789, 329, 281, 890
• LCM of 947, 421, 893, 877
• LCM of 577, 761, 618, 976
• LCM of 194, 190, 994, 961

1. What is the LCM of 438, 321, 492, 415?

Answer: LCM of 438, 321, 492, 415 is 1594849980.

2. How to calculate the LCM of 438, 321, 492, 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, 321, 492, 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}.