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LCM of 449, 793, 967, 909, 427

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


Find the LCM of 449, 793, 967, 909, 427 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 449, 793, 967, 909, 427. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 449,793,967,909,427

Given numbers are 449,793,967,909,427

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

The LCM of 449,793,967,909,427 is 2190826198197.

Find LCM of 449,793,967,909,427 with Prime Factorization


61 449, 793, 967, 909, 427
449, 13, 967, 909, 7

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

61 x 449 x 13 x 967 x 909 x 7 = 2190826198197

Therefore, the lowest common multiple of 449,793,967,909,427 is 2190826198197.

LCM Formula to Find Lowest Common Multiple of 449,793,967,909,427

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.

449 x 793 x 967 x 909 x 427 = 133640398090017

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.

449 : 1, 449

793 : 1, 13, 61, 793

967 : 1, 967

909 : 1, 3, 9, 101, 303, 909

427 : 1, 7, 61, 427

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,793,967,909,427, is 1.

Now, the common factors can be found like this.

449:449

793:13x 61

967:967

909:3x 3x 101

427:7x 61

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

61 = 61

Therefore, the value for common factors is 61.

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 = 133640398090017/(1x61)

LCM = 133640398090017/61

LCM = 2190826198197

Thus, we can understand that the LCM of 449,793,967,909,427 is 2190826198197.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 449, 793, 967, 909, 427

1. What is the LCM of 449, 793, 967, 909, 427?

Answer: LCM of 449, 793, 967, 909, 427 is 2190826198197.

2. How to calculate the LCM of 449, 793, 967, 909, 427?

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 449, 793, 967, 909, 427.

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}.