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LCM of 427, 832, 530, 204, 771

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


Find the LCM of 427, 832, 530, 204, 771 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 427, 832, 530, 204, 771. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 427,832,530,204,771

Given numbers are 427,832,530,204,771

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

The LCM of 427,832,530,204,771 is 1233957990720.

Find LCM of 427,832,530,204,771 with Prime Factorization


2 427, 832, 530, 204, 771
2 427, 416, 265, 102, 771
3 427, 208, 265, 51, 771
427, 208, 265, 17, 257

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

2 x 2 x 3 x 427 x 208 x 265 x 17 x 257 = 1233957990720

Therefore, the lowest common multiple of 427,832,530,204,771 is 1233957990720.

LCM Formula to Find Lowest Common Multiple of 427,832,530,204,771

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.

427 x 832 x 530 x 204 x 771 = 29614991777280

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.

427 : 1, 7, 61, 427

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

530 : 1, 2, 5, 10, 53, 106, 265, 530

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

771 : 1, 3, 257, 771

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,832,530,204,771, is 1.

Now, the common factors can be found like this.

427:7x 61

832:2x 2x 2x 2x 2x 2x 13

530:2x 5x 53

204:2x 2x 3x 17

771:3x 257

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 3 = 24

Therefore, the value for common factors is 24.

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 = 29614991777280/(1x24)

LCM = 29614991777280/24

LCM = 1233957990720

Thus, we can understand that the LCM of 427,832,530,204,771 is 1233957990720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 427, 832, 530, 204, 771

1. What is the LCM of 427, 832, 530, 204, 771?

Answer: LCM of 427, 832, 530, 204, 771 is 1233957990720.

2. How to calculate the LCM of 427, 832, 530, 204, 771?

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 427, 832, 530, 204, 771.

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}.