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LCM of 212, 529, 814, 502, 678

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


Find the LCM of 212, 529, 814, 502, 678 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 212, 529, 814, 502, 678. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 212,529,814,502,678

Given numbers are 212,529,814,502,678

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

The LCM of 212,529,814,502,678 is 3883822397004.

Find LCM of 212,529,814,502,678 with Prime Factorization


2 212, 529, 814, 502, 678
106, 529, 407, 251, 339

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

2 x 106 x 529 x 407 x 251 x 339 = 3883822397004

Therefore, the lowest common multiple of 212,529,814,502,678 is 3883822397004.

LCM Formula to Find Lowest Common Multiple of 212,529,814,502,678

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.

212 x 529 x 814 x 502 x 678 = 31070579176032

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.

212 : 1, 2, 4, 53, 106, 212

529 : 1, 23, 529

814 : 1, 2, 11, 22, 37, 74, 407, 814

502 : 1, 2, 251, 502

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,529,814,502,678, is 1.

Now, the common factors can be found like this.

212:2x 2x 53

529:23x 23

814:2x 11x 37

502:2x 251

678:2x 3x 113

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 2 = 8

Therefore, the value for common factors is 8.

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 = 31070579176032/(1x8)

LCM = 31070579176032/8

LCM = 3883822397004

Thus, we can understand that the LCM of 212,529,814,502,678 is 3883822397004.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 212, 529, 814, 502, 678

1. What is the LCM of 212, 529, 814, 502, 678?

Answer: LCM of 212, 529, 814, 502, 678 is 3883822397004.

2. How to calculate the LCM of 212, 529, 814, 502, 678?

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 212, 529, 814, 502, 678.

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}.