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LCM of 186, 353, 627, 589, 426

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


Find the LCM of 186, 353, 627, 589, 426 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 186, 353, 627, 589, 426. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 186,353,627,589,426

Given numbers are 186,353,627,589,426

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

The LCM of 186,353,627,589,426 is 974299062.

Find LCM of 186,353,627,589,426 with Prime Factorization


2 186, 353, 627, 589, 426
3 93, 353, 627, 589, 213
19 31, 353, 209, 589, 71
31 31, 353, 11, 31, 71
1, 353, 11, 1, 71

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

2 x 3 x 19 x 31 x 1 x 353 x 11 x 1 x 71 = 974299062

Therefore, the lowest common multiple of 186,353,627,589,426 is 974299062.

LCM Formula to Find Lowest Common Multiple of 186,353,627,589,426

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.

186 x 353 x 627 x 589 x 426 = 10329518655324

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.

186 : 1, 2, 3, 6, 31, 62, 93, 186

353 : 1, 353

627 : 1, 3, 11, 19, 33, 57, 209, 627

589 : 1, 19, 31, 589

426 : 1, 2, 3, 6, 71, 142, 213, 426

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 186,353,627,589,426, is 1.

Now, the common factors can be found like this.

186:2x 3x 31

353:353

627:3x 11x 19

589:19x 31

426:2x 3x 71

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

2x 3x 3x 19x 31 = 10602

Therefore, the value for common factors is 10602.

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 = 10329518655324/(1x10602)

LCM = 10329518655324/10602

LCM = 974299062

Thus, we can understand that the LCM of 186,353,627,589,426 is 974299062.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 186, 353, 627, 589, 426

1. What is the LCM of 186, 353, 627, 589, 426?

Answer: LCM of 186, 353, 627, 589, 426 is 974299062.

2. How to calculate the LCM of 186, 353, 627, 589, 426?

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 186, 353, 627, 589, 426.

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}.