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LCM of 445, 611, 969, 793

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


Find the LCM of 445, 611, 969, 793 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 445, 611, 969, 793. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 445,611,969,793

Given numbers are 445,611,969,793

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

The LCM of 445,611,969,793 is 16071441555.

Find LCM of 445,611,969,793 with Prime Factorization


13 445, 611, 969, 793
445, 47, 969, 61

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

13 x 445 x 47 x 969 x 61 = 16071441555

Therefore, the lowest common multiple of 445,611,969,793 is 16071441555.

LCM Formula to Find Lowest Common Multiple of 445,611,969,793

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.

445 x 611 x 969 x 793 = 208928740215

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.

445 : 1, 5, 89, 445

611 : 1, 13, 47, 611

969 : 1, 3, 17, 19, 51, 57, 323, 969

793 : 1, 13, 61, 793

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,611,969,793, is 1.

Now, the common factors can be found like this.

445:5x 89

611:13x 47

969:3x 17x 19

793:13x 61

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

13 = 13

Therefore, the value for common factors is 13.

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 = 208928740215/(1x13)

LCM = 208928740215/13

LCM = 16071441555

Thus, we can understand that the LCM of 445,611,969,793 is 16071441555.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 445, 611, 969, 793

1. What is the LCM of 445, 611, 969, 793?

Answer: LCM of 445, 611, 969, 793 is 16071441555.

2. How to calculate the LCM of 445, 611, 969, 793?

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 445, 611, 969, 793.

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}.