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LCM of 512, 702, 432, 871

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


Find the LCM of 512, 702, 432, 871 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 512, 702, 432, 871. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 512,702,432,871

Given numbers are 512,702,432,871

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

The LCM of 512,702,432,871 is 12040704.

Find LCM of 512,702,432,871 with Prime Factorization


2 512, 702, 432, 871
2 256, 351, 216, 871
2 128, 351, 108, 871
2 64, 351, 54, 871
3 32, 351, 27, 871
3 32, 117, 9, 871
3 32, 39, 3, 871
13 32, 13, 1, 871
32, 1, 1, 67

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

2 x 2 x 2 x 2 x 3 x 3 x 3 x 13 x 32 x 1 x 1 x 67 = 12040704

Therefore, the lowest common multiple of 512,702,432,871 is 12040704.

LCM Formula to Find Lowest Common Multiple of 512,702,432,871

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.

512 x 702 x 432 x 871 = 135241187328

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.

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

871 : 1, 13, 67, 871

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,702,432,871, is 1.

Now, the common factors can be found like this.

512:2x 2x 2x 2x 2x 2x 2x 2x 2

702:2x 3x 3x 3x 13

432:2x 2x 2x 2x 3x 3x 3

871:13x 67

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 2x 2x 3x 3x 3x 13 = 11232

Therefore, the value for common factors is 11232.

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 = 135241187328/(1x11232)

LCM = 135241187328/11232

LCM = 12040704

Thus, we can understand that the LCM of 512,702,432,871 is 12040704.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 512, 702, 432, 871

1. What is the LCM of 512, 702, 432, 871?

Answer: LCM of 512, 702, 432, 871 is 12040704.

2. How to calculate the LCM of 512, 702, 432, 871?

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 512, 702, 432, 871.

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}.