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LCM of 281, 132, 569, 569

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


Find the LCM of 281, 132, 569, 569 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 281, 132, 569, 569. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 281,132,569,569

Given numbers are 281,132,569,569

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

The LCM of 281,132,569,569 is 21105348.

Find LCM of 281,132,569,569 with Prime Factorization


569 281, 132, 569, 569
281, 132, 1, 1

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

569 x 281 x 132 x 1 x 1 = 21105348

Therefore, the lowest common multiple of 281,132,569,569 is 21105348.

LCM Formula to Find Lowest Common Multiple of 281,132,569,569

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.

281 x 132 x 569 x 569 = 12008943012

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.

281 : 1, 281

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

569 : 1, 569

569 : 1, 569

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,132,569,569, is 1.

Now, the common factors can be found like this.

281:281

132:2x 2x 3x 11

569:569

569:569

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

569 = 569

Therefore, the value for common factors is 569.

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 = 12008943012/(1x569)

LCM = 12008943012/569

LCM = 21105348

Thus, we can understand that the LCM of 281,132,569,569 is 21105348.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 281, 132, 569, 569

1. What is the LCM of 281, 132, 569, 569?

Answer: LCM of 281, 132, 569, 569 is 21105348.

2. How to calculate the LCM of 281, 132, 569, 569?

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 281, 132, 569, 569.

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}.