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LCM of 448, 104, 941, 345

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


Find the LCM of 448, 104, 941, 345 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, 104, 941, 345. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 448,104,941,345

Given numbers are 448,104,941,345

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

The LCM of 448,104,941,345 is 1890732480.

Find LCM of 448,104,941,345 with Prime Factorization


2 448, 104, 941, 345
2 224, 52, 941, 345
2 112, 26, 941, 345
56, 13, 941, 345

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

2 x 2 x 2 x 56 x 13 x 941 x 345 = 1890732480

Therefore, the lowest common multiple of 448,104,941,345 is 1890732480.

LCM Formula to Find Lowest Common Multiple of 448,104,941,345

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 104 x 941 x 345 = 15125859840

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

941 : 1, 941

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,104,941,345, is 1.

Now, the common factors can be found like this.

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

104:2x 2x 2x 13

941:941

345:3x 5x 23

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

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 15125859840/(1x8)

LCM = 15125859840/8

LCM = 1890732480

Thus, we can understand that the LCM of 448,104,941,345 is 1890732480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 448, 104, 941, 345

1. What is the LCM of 448, 104, 941, 345?

Answer: LCM of 448, 104, 941, 345 is 1890732480.

2. How to calculate the LCM of 448, 104, 941, 345?

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, 104, 941, 345.

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}.