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LCM of 445, 481, 779, 112, 962

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


Find the LCM of 445, 481, 779, 112, 962 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, 481, 779, 112, 962. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 445,481,779,112,962

Given numbers are 445,481,779,112,962

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

The LCM of 445,481,779,112,962 is 18674998160.

Find LCM of 445,481,779,112,962 with Prime Factorization


2 445, 481, 779, 112, 962
13 445, 481, 779, 56, 481
37 445, 37, 779, 56, 37
445, 1, 779, 56, 1

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

2 x 13 x 37 x 445 x 1 x 779 x 56 x 1 = 18674998160

Therefore, the lowest common multiple of 445,481,779,112,962 is 18674998160.

LCM Formula to Find Lowest Common Multiple of 445,481,779,112,962

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 481 x 779 x 112 x 962 = 17965348229920

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

481 : 1, 13, 37, 481

779 : 1, 19, 41, 779

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

962 : 1, 2, 13, 26, 37, 74, 481, 962

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,481,779,112,962, is 1.

Now, the common factors can be found like this.

445:5x 89

481:13x 37

779:19x 41

112:2x 2x 2x 2x 7

962:2x 13x 37

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

2x 13x 37 = 962

Therefore, the value for common factors is 962.

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 = 17965348229920/(1x962)

LCM = 17965348229920/962

LCM = 18674998160

Thus, we can understand that the LCM of 445,481,779,112,962 is 18674998160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 445, 481, 779, 112, 962

1. What is the LCM of 445, 481, 779, 112, 962?

Answer: LCM of 445, 481, 779, 112, 962 is 18674998160.

2. How to calculate the LCM of 445, 481, 779, 112, 962?

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, 481, 779, 112, 962.

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}.