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LCM of 438, 206, 814, 935, 634

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


Find the LCM of 438, 206, 814, 935, 634 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 438, 206, 814, 935, 634. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 438,206,814,935,634

Given numbers are 438,206,814,935,634

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

The LCM of 438,206,814,935,634 is 494747869110.

Find LCM of 438,206,814,935,634 with Prime Factorization


2 438, 206, 814, 935, 634
11 219, 103, 407, 935, 317
219, 103, 37, 85, 317

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

2 x 11 x 219 x 103 x 37 x 85 x 317 = 494747869110

Therefore, the lowest common multiple of 438,206,814,935,634 is 494747869110.

LCM Formula to Find Lowest Common Multiple of 438,206,814,935,634

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.

438 x 206 x 814 x 935 x 634 = 43537812481680

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

206 : 1, 2, 103, 206

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

935 : 1, 5, 11, 17, 55, 85, 187, 935

634 : 1, 2, 317, 634

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,206,814,935,634, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

206:2x 103

814:2x 11x 37

935:5x 11x 17

634:2x 317

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 11 = 88

Therefore, the value for common factors is 88.

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 = 43537812481680/(1x88)

LCM = 43537812481680/88

LCM = 494747869110

Thus, we can understand that the LCM of 438,206,814,935,634 is 494747869110.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 438, 206, 814, 935, 634

1. What is the LCM of 438, 206, 814, 935, 634?

Answer: LCM of 438, 206, 814, 935, 634 is 494747869110.

2. How to calculate the LCM of 438, 206, 814, 935, 634?

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 438, 206, 814, 935, 634.

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}.