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LCM of 441, 305, 765, 732

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


Find the LCM of 441, 305, 765, 732 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 441, 305, 765, 732. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 441,305,765,732

Given numbers are 441,305,765,732

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

The LCM of 441,305,765,732 is 9146340.

Find LCM of 441,305,765,732 with Prime Factorization


3 441, 305, 765, 732
3 147, 305, 255, 244
5 49, 305, 85, 244
61 49, 61, 17, 244
49, 1, 17, 4

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

3 x 3 x 5 x 61 x 49 x 1 x 17 x 4 = 9146340

Therefore, the lowest common multiple of 441,305,765,732 is 9146340.

LCM Formula to Find Lowest Common Multiple of 441,305,765,732

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.

441 x 305 x 765 x 732 = 75320109900

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.

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

305 : 1, 5, 61, 305

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,305,765,732, is 1.

Now, the common factors can be found like this.

441:3x 3x 7x 7

305:5x 61

765:3x 3x 5x 17

732:2x 2x 3x 61

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

3x 3x 3x 5x 61 = 8235

Therefore, the value for common factors is 8235.

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 = 75320109900/(1x8235)

LCM = 75320109900/8235

LCM = 9146340

Thus, we can understand that the LCM of 441,305,765,732 is 9146340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 441, 305, 765, 732

1. What is the LCM of 441, 305, 765, 732?

Answer: LCM of 441, 305, 765, 732 is 9146340.

2. How to calculate the LCM of 441, 305, 765, 732?

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 441, 305, 765, 732.

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}.