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LCM of 13, 74, 481

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


Find the LCM of 13, 74, 481 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 13, 74, 481. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 13,74,481

Given numbers are 13,74,481

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

The LCM of 13,74,481 is 962.

Find LCM of 13,74,481 with Prime Factorization


13 13, 74, 481
37 1, 74, 37
1, 2, 1

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

13 x 37 x 1 x 2 x 1 = 962

Therefore, the lowest common multiple of 13,74,481 is 962.

LCM Formula to Find Lowest Common Multiple of 13,74,481

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.

13 x 74 x 481 = 462722

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.

13 : 1, 13

74 : 1, 2, 37, 74

481 : 1, 13, 37, 481

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 13,74,481, is 1.

Now, the common factors can be found like this.

13:13

74:2x 37

481:13x 37

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

13x 37 = 481

Therefore, the value for common factors is 481.

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 = 462722/(1x481)

LCM = 462722/481

LCM = 962

Thus, we can understand that the LCM of 13,74,481 is 962.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 13, 74, 481

1. What is the LCM of 13, 74, 481?

Answer: LCM of 13, 74, 481 is 962.

2. How to calculate the LCM of 13, 74, 481?

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 13, 74, 481.

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}.