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LCM of 369, 588, 958, 814

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


Find the LCM of 369, 588, 958, 814 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 369, 588, 958, 814. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 369,588,958,814

Given numbers are 369,588,958,814

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

The LCM of 369,588,958,814 is 14099780772.

Find LCM of 369,588,958,814 with Prime Factorization


2 369, 588, 958, 814
3 369, 294, 479, 407
123, 98, 479, 407

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

2 x 3 x 123 x 98 x 479 x 407 = 14099780772

Therefore, the lowest common multiple of 369,588,958,814 is 14099780772.

LCM Formula to Find Lowest Common Multiple of 369,588,958,814

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.

369 x 588 x 958 x 814 = 169197369264

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.

369 : 1, 3, 9, 41, 123, 369

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

958 : 1, 2, 479, 958

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,588,958,814, is 1.

Now, the common factors can be found like this.

369:3x 3x 41

588:2x 2x 3x 7x 7

958:2x 479

814:2x 11x 37

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 3 = 12

Therefore, the value for common factors is 12.

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 = 169197369264/(1x12)

LCM = 169197369264/12

LCM = 14099780772

Thus, we can understand that the LCM of 369,588,958,814 is 14099780772.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 369, 588, 958, 814

1. What is the LCM of 369, 588, 958, 814?

Answer: LCM of 369, 588, 958, 814 is 14099780772.

2. How to calculate the LCM of 369, 588, 958, 814?

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 369, 588, 958, 814.

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}.