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LCM of 444, 973, 104, 726, 720

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


Find the LCM of 444, 973, 104, 726, 720 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 444, 973, 104, 726, 720. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 444,973,104,726,720

Given numbers are 444,973,104,726,720

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

The LCM of 444,973,104,726,720 is 40773292560.

Find LCM of 444,973,104,726,720 with Prime Factorization


2 444, 973, 104, 726, 720
2 222, 973, 52, 363, 360
2 111, 973, 26, 363, 180
3 111, 973, 13, 363, 90
37, 973, 13, 121, 30

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

2 x 2 x 2 x 3 x 37 x 973 x 13 x 121 x 30 = 40773292560

Therefore, the lowest common multiple of 444,973,104,726,720 is 40773292560.

LCM Formula to Find Lowest Common Multiple of 444,973,104,726,720

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.

444 x 973 x 104 x 726 x 720 = 23485416514560

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.

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

973 : 1, 7, 139, 973

104 : 1, 2, 4, 8, 13, 26, 52, 104

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 444,973,104,726,720, is 1.

Now, the common factors can be found like this.

444:2x 2x 3x 37

973:7x 139

104:2x 2x 2x 13

726:2x 3x 11x 11

720:2x 2x 2x 2x 3x 3x 5

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

2x 2x 2x 2x 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 23485416514560/(1x576)

LCM = 23485416514560/576

LCM = 40773292560

Thus, we can understand that the LCM of 444,973,104,726,720 is 40773292560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 444, 973, 104, 726, 720

1. What is the LCM of 444, 973, 104, 726, 720?

Answer: LCM of 444, 973, 104, 726, 720 is 40773292560.

2. How to calculate the LCM of 444, 973, 104, 726, 720?

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 444, 973, 104, 726, 720.

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}.