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LCM of 234, 268, 123, 728

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


Find the LCM of 234, 268, 123, 728 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, 268, 123, 728. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 234,268,123,728

Given numbers are 234,268,123,728

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

The LCM of 234,268,123,728 is 17998344.

Find LCM of 234,268,123,728 with Prime Factorization


2 234, 268, 123, 728
2 117, 134, 123, 364
3 117, 67, 123, 182
13 39, 67, 41, 182
3, 67, 41, 14

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

2 x 2 x 3 x 13 x 3 x 67 x 41 x 14 = 17998344

Therefore, the lowest common multiple of 234,268,123,728 is 17998344.

LCM Formula to Find Lowest Common Multiple of 234,268,123,728

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 268 x 123 x 728 = 5615483328

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

268 : 1, 2, 4, 67, 134, 268

123 : 1, 3, 41, 123

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,268,123,728, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

268:2x 2x 67

123:3x 41

728:2x 2x 2x 7x 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 2x 2x 3x 13 = 312

Therefore, the value for common factors is 312.

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 = 5615483328/(1x312)

LCM = 5615483328/312

LCM = 17998344

Thus, we can understand that the LCM of 234,268,123,728 is 17998344.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 234, 268, 123, 728

1. What is the LCM of 234, 268, 123, 728?

Answer: LCM of 234, 268, 123, 728 is 17998344.

2. How to calculate the LCM of 234, 268, 123, 728?

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, 268, 123, 728.

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}.