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LCM of 141, 546, 809, 448

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


Find the LCM of 141, 546, 809, 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 141, 546, 809, 448. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 141,546,809,448

Given numbers are 141,546,809,448

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

The LCM of 141,546,809,448 is 664337856.

Find LCM of 141,546,809,448 with Prime Factorization


2 141, 546, 809, 448
3 141, 273, 809, 224
7 47, 91, 809, 224
47, 13, 809, 32

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

2 x 3 x 7 x 47 x 13 x 809 x 32 = 664337856

Therefore, the lowest common multiple of 141,546,809,448 is 664337856.

LCM Formula to Find Lowest Common Multiple of 141,546,809,448

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.

141 x 546 x 809 x 448 = 27902189952

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.

141 : 1, 3, 47, 141

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

809 : 1, 809

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 141,546,809,448, is 1.

Now, the common factors can be found like this.

141:3x 47

546:2x 3x 7x 13

809:809

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.

2x 3x 7 = 42

Therefore, the value for common factors is 42.

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 = 27902189952/(1x42)

LCM = 27902189952/42

LCM = 664337856

Thus, we can understand that the LCM of 141,546,809,448 is 664337856.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 141, 546, 809, 448

1. What is the LCM of 141, 546, 809, 448?

Answer: LCM of 141, 546, 809, 448 is 664337856.

2. How to calculate the LCM of 141, 546, 809, 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 141, 546, 809, 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}.