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LCM of 522, 214, 152

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


Find the LCM of 522, 214, 152 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 522, 214, 152. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 522,214,152

Given numbers are 522,214,152

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

The LCM of 522,214,152 is 4244904.

Find LCM of 522,214,152 with Prime Factorization


2 522, 214, 152
261, 107, 76

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

2 x 261 x 107 x 76 = 4244904

Therefore, the lowest common multiple of 522,214,152 is 4244904.

LCM Formula to Find Lowest Common Multiple of 522,214,152

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.

522 x 214 x 152 = 16979616

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.

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

214 : 1, 2, 107, 214

152 : 1, 2, 4, 8, 19, 38, 76, 152

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,214,152, is 2.

Now, the common factors can be found like this.

522:2x 3x 3x 29

214:2x 107

152:2x 2x 2x 19

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

2 = 2

Therefore, the value for common factors is 2.

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 = 16979616/(2x2)

LCM = 16979616/4

LCM = 4244904

Thus, we can understand that the LCM of 522,214,152 is 4244904.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 522, 214, 152

1. What is the LCM of 522, 214, 152?

Answer: LCM of 522, 214, 152 is 4244904.

2. How to calculate the LCM of 522, 214, 152?

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 522, 214, 152.

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}.