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LCM of 766, 230, 291, 441

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


Find the LCM of 766, 230, 291, 441 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 766, 230, 291, 441. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 766,230,291,441

Given numbers are 766,230,291,441

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

The LCM of 766,230,291,441 is 3768225930.

Find LCM of 766,230,291,441 with Prime Factorization


2 766, 230, 291, 441
3 383, 115, 291, 441
383, 115, 97, 147

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

2 x 3 x 383 x 115 x 97 x 147 = 3768225930

Therefore, the lowest common multiple of 766,230,291,441 is 3768225930.

LCM Formula to Find Lowest Common Multiple of 766,230,291,441

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.

766 x 230 x 291 x 441 = 22609355580

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.

766 : 1, 2, 383, 766

230 : 1, 2, 5, 10, 23, 46, 115, 230

291 : 1, 3, 97, 291

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,230,291,441, is 1.

Now, the common factors can be found like this.

766:2x 383

230:2x 5x 23

291:3x 97

441:3x 3x 7x 7

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 22609355580/(1x6)

LCM = 22609355580/6

LCM = 3768225930

Thus, we can understand that the LCM of 766,230,291,441 is 3768225930.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 766, 230, 291, 441

1. What is the LCM of 766, 230, 291, 441?

Answer: LCM of 766, 230, 291, 441 is 3768225930.

2. How to calculate the LCM of 766, 230, 291, 441?

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 766, 230, 291, 441.

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}.