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LCM of 686, 422, 938, 668, 306

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


Find the LCM of 686, 422, 938, 668, 306 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 686, 422, 938, 668, 306. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 686,422,938,668,306

Given numbers are 686,422,938,668,306

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

The LCM of 686,422,938,668,306 is 495586276164.

Find LCM of 686,422,938,668,306 with Prime Factorization


2 686, 422, 938, 668, 306
7 343, 211, 469, 334, 153
49, 211, 67, 334, 153

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

2 x 7 x 49 x 211 x 67 x 334 x 153 = 495586276164

Therefore, the lowest common multiple of 686,422,938,668,306 is 495586276164.

LCM Formula to Find Lowest Common Multiple of 686,422,938,668,306

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.

686 x 422 x 938 x 668 x 306 = 55505662930368

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.

686 : 1, 2, 7, 14, 49, 98, 343, 686

422 : 1, 2, 211, 422

938 : 1, 2, 7, 14, 67, 134, 469, 938

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

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,422,938,668,306, is 2.

Now, the common factors can be found like this.

686:2x 7x 7x 7

422:2x 211

938:2x 7x 67

668:2x 2x 167

306:2x 3x 3x 17

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 7 = 56

Therefore, the value for common factors is 56.

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 = 55505662930368/(2x56)

LCM = 55505662930368/112

LCM = 495586276164

Thus, we can understand that the LCM of 686,422,938,668,306 is 495586276164.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 686, 422, 938, 668, 306

1. What is the LCM of 686, 422, 938, 668, 306?

Answer: LCM of 686, 422, 938, 668, 306 is 495586276164.

2. How to calculate the LCM of 686, 422, 938, 668, 306?

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 686, 422, 938, 668, 306.

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}.