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LCM of 286, 689, 539, 183

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


Find the LCM of 286, 689, 539, 183 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 286, 689, 539, 183. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 286,689,539,183

Given numbers are 286,689,539,183

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

The LCM of 286,689,539,183 is 135921786.

Find LCM of 286,689,539,183 with Prime Factorization


11 286, 689, 539, 183
13 26, 689, 49, 183
2, 53, 49, 183

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

11 x 13 x 2 x 53 x 49 x 183 = 135921786

Therefore, the lowest common multiple of 286,689,539,183 is 135921786.

LCM Formula to Find Lowest Common Multiple of 286,689,539,183

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.

286 x 689 x 539 x 183 = 19436815398

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.

286 : 1, 2, 11, 13, 22, 26, 143, 286

689 : 1, 13, 53, 689

539 : 1, 7, 11, 49, 77, 539

183 : 1, 3, 61, 183

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,689,539,183, is 1.

Now, the common factors can be found like this.

286:2x 11x 13

689:13x 53

539:7x 7x 11

183:3x 61

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

11x 13 = 143

Therefore, the value for common factors is 143.

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 = 19436815398/(1x143)

LCM = 19436815398/143

LCM = 135921786

Thus, we can understand that the LCM of 286,689,539,183 is 135921786.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 286, 689, 539, 183

1. What is the LCM of 286, 689, 539, 183?

Answer: LCM of 286, 689, 539, 183 is 135921786.

2. How to calculate the LCM of 286, 689, 539, 183?

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 286, 689, 539, 183.

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}.