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LCM of 234, 162, 436, 522

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


Find the LCM of 234, 162, 436, 522 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 234, 162, 436, 522. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 234,162,436,522

Given numbers are 234,162,436,522

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

The LCM of 234,162,436,522 is 13314132.

Find LCM of 234,162,436,522 with Prime Factorization


2 234, 162, 436, 522
3 117, 81, 218, 261
3 39, 27, 218, 87
13, 9, 218, 29

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

2 x 3 x 3 x 13 x 9 x 218 x 29 = 13314132

Therefore, the lowest common multiple of 234,162,436,522 is 13314132.

LCM Formula to Find Lowest Common Multiple of 234,162,436,522

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.

234 x 162 x 436 x 522 = 8627557536

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

436 : 1, 2, 4, 109, 218, 436

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,162,436,522, is 2.

Now, the common factors can be found like this.

234:2x 3x 3x 13

162:2x 3x 3x 3x 3

436:2x 2x 109

522:2x 3x 3x 29

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 3x 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 8627557536/(2x324)

LCM = 8627557536/648

LCM = 13314132

Thus, we can understand that the LCM of 234,162,436,522 is 13314132.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 234, 162, 436, 522

1. What is the LCM of 234, 162, 436, 522?

Answer: LCM of 234, 162, 436, 522 is 13314132.

2. How to calculate the LCM of 234, 162, 436, 522?

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 234, 162, 436, 522.

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}.