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LCM of 283, 627, 869, 722

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


Find the LCM of 283, 627, 869, 722 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 283, 627, 869, 722. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 283,627,869,722

Given numbers are 283,627,869,722

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

The LCM of 283,627,869,722 is 532677882.

Find LCM of 283,627,869,722 with Prime Factorization


11 283, 627, 869, 722
19 283, 57, 79, 722
283, 3, 79, 38

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

11 x 19 x 283 x 3 x 79 x 38 = 532677882

Therefore, the lowest common multiple of 283,627,869,722 is 532677882.

LCM Formula to Find Lowest Common Multiple of 283,627,869,722

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.

283 x 627 x 869 x 722 = 111329677338

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.

283 : 1, 283

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

869 : 1, 11, 79, 869

722 : 1, 2, 19, 38, 361, 722

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,627,869,722, is 1.

Now, the common factors can be found like this.

283:283

627:3x 11x 19

869:11x 79

722:2x 19x 19

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

11x 19 = 209

Therefore, the value for common factors is 209.

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 = 111329677338/(1x209)

LCM = 111329677338/209

LCM = 532677882

Thus, we can understand that the LCM of 283,627,869,722 is 532677882.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 283, 627, 869, 722

1. What is the LCM of 283, 627, 869, 722?

Answer: LCM of 283, 627, 869, 722 is 532677882.

2. How to calculate the LCM of 283, 627, 869, 722?

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 283, 627, 869, 722.

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}.