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LCM of 117, 442, 351, 234

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


Find the LCM of 117, 442, 351, 234 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 117, 442, 351, 234. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 117,442,351,234

Given numbers are 117,442,351,234

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

The LCM of 117,442,351,234 is 11934.

Find LCM of 117,442,351,234 with Prime Factorization


2 117, 442, 351, 234
3 117, 221, 351, 117
3 39, 221, 39, 117
13 13, 221, 13, 39
1, 17, 1, 3

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

2 x 3 x 3 x 13 x 1 x 17 x 1 x 3 = 11934

Therefore, the lowest common multiple of 117,442,351,234 is 11934.

LCM Formula to Find Lowest Common Multiple of 117,442,351,234

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.

117 x 442 x 351 x 234 = 4247477676

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.

117 : 1, 3, 9, 13, 39, 117

442 : 1, 2, 13, 17, 26, 34, 221, 442

351 : 1, 3, 9, 13, 27, 39, 117, 351

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

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,442,351,234, is 13.

Now, the common factors can be found like this.

117:3x 3x 13

442:2x 13x 17

351:3x 3x 3x 13

234:2x 3x 3x 13

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 3x 3x 13x 13 = 27378

Therefore, the value for common factors is 27378.

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 = 4247477676/(13x27378)

LCM = 4247477676/355914

LCM = 11934

Thus, we can understand that the LCM of 117,442,351,234 is 11934.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 117, 442, 351, 234

1. What is the LCM of 117, 442, 351, 234?

Answer: LCM of 117, 442, 351, 234 is 11934.

2. How to calculate the LCM of 117, 442, 351, 234?

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 117, 442, 351, 234.

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}.