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LCM of 445, 266, 819, 464

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


Find the LCM of 445, 266, 819, 464 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, 266, 819, 464. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 445,266,819,464

Given numbers are 445,266,819,464

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

The LCM of 445,266,819,464 is 3213035280.

Find LCM of 445,266,819,464 with Prime Factorization


2 445, 266, 819, 464
7 445, 133, 819, 232
445, 19, 117, 232

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

2 x 7 x 445 x 19 x 117 x 232 = 3213035280

Therefore, the lowest common multiple of 445,266,819,464 is 3213035280.

LCM Formula to Find Lowest Common Multiple of 445,266,819,464

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 266 x 819 x 464 = 44982493920

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

266 : 1, 2, 7, 14, 19, 38, 133, 266

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,266,819,464, is 1.

Now, the common factors can be found like this.

445:5x 89

266:2x 7x 19

819:3x 3x 7x 13

464:2x 2x 2x 2x 29

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 44982493920/(1x14)

LCM = 44982493920/14

LCM = 3213035280

Thus, we can understand that the LCM of 445,266,819,464 is 3213035280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 445, 266, 819, 464

1. What is the LCM of 445, 266, 819, 464?

Answer: LCM of 445, 266, 819, 464 is 3213035280.

2. How to calculate the LCM of 445, 266, 819, 464?

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, 266, 819, 464.

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}.