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LCM of 443, 417, 139, 239

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 443, 417, 139, 239 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 443, 417, 139, 239. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 443,417,139,239

Given numbers are 443,417,139,239

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

The LCM of 443,417,139,239 is 44150709.

Find LCM of 443,417,139,239 with Prime Factorization


139 443, 417, 139, 239
443, 3, 1, 239

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

139 x 443 x 3 x 1 x 239 = 44150709

Therefore, the lowest common multiple of 443,417,139,239 is 44150709.

LCM Formula to Find Lowest Common Multiple of 443,417,139,239

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.

443 x 417 x 139 x 239 = 6136948551

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.

443 : 1, 443

417 : 1, 3, 139, 417

139 : 1, 139

239 : 1, 239

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 443,417,139,239, is 1.

Now, the common factors can be found like this.

443:443

417:3x 139

139:139

239:239

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

139 = 139

Therefore, the value for common factors is 139.

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 = 6136948551/(1x139)

LCM = 6136948551/139

LCM = 44150709

Thus, we can understand that the LCM of 443,417,139,239 is 44150709.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 443, 417, 139, 239

1. What is the LCM of 443, 417, 139, 239?

Answer: LCM of 443, 417, 139, 239 is 44150709.

2. How to calculate the LCM of 443, 417, 139, 239?

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 443, 417, 139, 239.

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}.