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LCM of 529, 378, 531, 686

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


Find the LCM of 529, 378, 531, 686 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 529, 378, 531, 686. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 529,378,531,686

Given numbers are 529,378,531,686

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

The LCM of 529,378,531,686 is 578090142.

Find LCM of 529,378,531,686 with Prime Factorization


2 529, 378, 531, 686
3 529, 189, 531, 343
3 529, 63, 177, 343
7 529, 21, 59, 343
529, 3, 59, 49

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

2 x 3 x 3 x 7 x 529 x 3 x 59 x 49 = 578090142

Therefore, the lowest common multiple of 529,378,531,686 is 578090142.

LCM Formula to Find Lowest Common Multiple of 529,378,531,686

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.

529 x 378 x 531 x 686 = 72839357892

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.

529 : 1, 23, 529

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

531 : 1, 3, 9, 59, 177, 531

686 : 1, 2, 7, 14, 49, 98, 343, 686

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 529,378,531,686, is 1.

Now, the common factors can be found like this.

529:23x 23

378:2x 3x 3x 3x 7

531:3x 3x 59

686:2x 7x 7x 7

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

2x 3x 3x 7 = 126

Therefore, the value for common factors is 126.

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 = 72839357892/(1x126)

LCM = 72839357892/126

LCM = 578090142

Thus, we can understand that the LCM of 529,378,531,686 is 578090142.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 529, 378, 531, 686

1. What is the LCM of 529, 378, 531, 686?

Answer: LCM of 529, 378, 531, 686 is 578090142.

2. How to calculate the LCM of 529, 378, 531, 686?

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 529, 378, 531, 686.

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}.