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LCM of 831, 611, 417, 239, 448

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


Find the LCM of 831, 611, 417, 239, 448 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 831, 611, 417, 239, 448. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 831,611,417,239,448

Given numbers are 831,611,417,239,448

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

The LCM of 831,611,417,239,448 is 7556713364928.

Find LCM of 831,611,417,239,448 with Prime Factorization


3 831, 611, 417, 239, 448
277, 611, 139, 239, 448

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

3 x 277 x 611 x 139 x 239 x 448 = 7556713364928

Therefore, the lowest common multiple of 831,611,417,239,448 is 7556713364928.

LCM Formula to Find Lowest Common Multiple of 831,611,417,239,448

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.

831 x 611 x 417 x 239 x 448 = 22670140094784

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.

831 : 1, 3, 277, 831

611 : 1, 13, 47, 611

417 : 1, 3, 139, 417

239 : 1, 239

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,611,417,239,448, is 1.

Now, the common factors can be found like this.

831:3x 277

611:13x 47

417:3x 139

239:239

448:2x 2x 2x 2x 2x 2x 7

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

3 = 3

Therefore, the value for common factors is 3.

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 = 22670140094784/(1x3)

LCM = 22670140094784/3

LCM = 7556713364928

Thus, we can understand that the LCM of 831,611,417,239,448 is 7556713364928.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 831, 611, 417, 239, 448

1. What is the LCM of 831, 611, 417, 239, 448?

Answer: LCM of 831, 611, 417, 239, 448 is 7556713364928.

2. How to calculate the LCM of 831, 611, 417, 239, 448?

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 831, 611, 417, 239, 448.

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}.