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LCM of 438, 610, 668, 209

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


Find the LCM of 438, 610, 668, 209 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, 610, 668, 209. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 438,610,668,209

Given numbers are 438,610,668,209

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

The LCM of 438,610,668,209 is 9325383540.

Find LCM of 438,610,668,209 with Prime Factorization


2 438, 610, 668, 209
219, 305, 334, 209

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

2 x 219 x 305 x 334 x 209 = 9325383540

Therefore, the lowest common multiple of 438,610,668,209 is 9325383540.

LCM Formula to Find Lowest Common Multiple of 438,610,668,209

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 610 x 668 x 209 = 37301534160

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

610 : 1, 2, 5, 10, 61, 122, 305, 610

668 : 1, 2, 4, 167, 334, 668

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,610,668,209, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

610:2x 5x 61

668:2x 2x 167

209:11x 19

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 37301534160/(1x4)

LCM = 37301534160/4

LCM = 9325383540

Thus, we can understand that the LCM of 438,610,668,209 is 9325383540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 438, 610, 668, 209

1. What is the LCM of 438, 610, 668, 209?

Answer: LCM of 438, 610, 668, 209 is 9325383540.

2. How to calculate the LCM of 438, 610, 668, 209?

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, 610, 668, 209.

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}.