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LCM of 763, 981, 825, 329

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


Find the LCM of 763, 981, 825, 329 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 763, 981, 825, 329. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 763,981,825,329

Given numbers are 763,981,825,329

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

The LCM of 763,981,825,329 is 88755975.

Find LCM of 763,981,825,329 with Prime Factorization


3 763, 981, 825, 329
7 763, 327, 275, 329
109 109, 327, 275, 47
1, 3, 275, 47

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

3 x 7 x 109 x 1 x 3 x 275 x 47 = 88755975

Therefore, the lowest common multiple of 763,981,825,329 is 88755975.

LCM Formula to Find Lowest Common Multiple of 763,981,825,329

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.

763 x 981 x 825 x 329 = 203162426775

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.

763 : 1, 7, 109, 763

981 : 1, 3, 9, 109, 327, 981

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

329 : 1, 7, 47, 329

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,981,825,329, is 1.

Now, the common factors can be found like this.

763:7x 109

981:3x 3x 109

825:3x 5x 5x 11

329:7x 47

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

3x 7x 109 = 2289

Therefore, the value for common factors is 2289.

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 = 203162426775/(1x2289)

LCM = 203162426775/2289

LCM = 88755975

Thus, we can understand that the LCM of 763,981,825,329 is 88755975.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 763, 981, 825, 329

1. What is the LCM of 763, 981, 825, 329?

Answer: LCM of 763, 981, 825, 329 is 88755975.

2. How to calculate the LCM of 763, 981, 825, 329?

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 763, 981, 825, 329.

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}.