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LCM of 448, 361, 247, 383

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


Find the LCM of 448, 361, 247, 383 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 448, 361, 247, 383. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 448,361,247,383

Given numbers are 448,361,247,383

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

The LCM of 448,361,247,383 is 805243712.

Find LCM of 448,361,247,383 with Prime Factorization


19 448, 361, 247, 383
448, 19, 13, 383

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

19 x 448 x 19 x 13 x 383 = 805243712

Therefore, the lowest common multiple of 448,361,247,383 is 805243712.

LCM Formula to Find Lowest Common Multiple of 448,361,247,383

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.

448 x 361 x 247 x 383 = 15299630528

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.

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

361 : 1, 19, 361

247 : 1, 13, 19, 247

383 : 1, 383

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,361,247,383, is 1.

Now, the common factors can be found like this.

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

361:19x 19

247:13x 19

383:383

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

19 = 19

Therefore, the value for common factors is 19.

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 = 15299630528/(1x19)

LCM = 15299630528/19

LCM = 805243712

Thus, we can understand that the LCM of 448,361,247,383 is 805243712.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 448, 361, 247, 383

1. What is the LCM of 448, 361, 247, 383?

Answer: LCM of 448, 361, 247, 383 is 805243712.

2. How to calculate the LCM of 448, 361, 247, 383?

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 448, 361, 247, 383.

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}.