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LCM of 481, 731, 713, 663

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


Find the LCM of 481, 731, 713, 663 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 481, 731, 713, 663. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 481,731,713,663

Given numbers are 481,731,713,663

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

The LCM of 481,731,713,663 is 752095929.

Find LCM of 481,731,713,663 with Prime Factorization


13 481, 731, 713, 663
17 37, 731, 713, 51
37, 43, 713, 3

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

13 x 17 x 37 x 43 x 713 x 3 = 752095929

Therefore, the lowest common multiple of 481,731,713,663 is 752095929.

LCM Formula to Find Lowest Common Multiple of 481,731,713,663

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.

481 x 731 x 713 x 663 = 166213200309

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.

481 : 1, 13, 37, 481

731 : 1, 17, 43, 731

713 : 1, 23, 31, 713

663 : 1, 3, 13, 17, 39, 51, 221, 663

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,731,713,663, is 1.

Now, the common factors can be found like this.

481:13x 37

731:17x 43

713:23x 31

663:3x 13x 17

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

13x 17 = 221

Therefore, the value for common factors is 221.

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 = 166213200309/(1x221)

LCM = 166213200309/221

LCM = 752095929

Thus, we can understand that the LCM of 481,731,713,663 is 752095929.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 481, 731, 713, 663

1. What is the LCM of 481, 731, 713, 663?

Answer: LCM of 481, 731, 713, 663 is 752095929.

2. How to calculate the LCM of 481, 731, 713, 663?

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 481, 731, 713, 663.

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}.