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LCM of 459, 307, 288, 129, 946

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


Find the LCM of 459, 307, 288, 129, 946 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 459, 307, 288, 129, 946. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 459,307,288,129,946

Given numbers are 459,307,288,129,946

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

The LCM of 459,307,288,129,946 is 2132859168.

Find LCM of 459,307,288,129,946 with Prime Factorization


2 459, 307, 288, 129, 946
3 459, 307, 144, 129, 473
3 153, 307, 48, 43, 473
43 51, 307, 16, 43, 473
51, 307, 16, 1, 11

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

2 x 3 x 3 x 43 x 51 x 307 x 16 x 1 x 11 = 2132859168

Therefore, the lowest common multiple of 459,307,288,129,946 is 2132859168.

LCM Formula to Find Lowest Common Multiple of 459,307,288,129,946

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.

459 x 307 x 288 x 129 x 946 = 4952498988096

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.

459 : 1, 3, 9, 17, 27, 51, 153, 459

307 : 1, 307

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

129 : 1, 3, 43, 129

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,307,288,129,946, is 1.

Now, the common factors can be found like this.

459:3x 3x 3x 17

307:307

288:2x 2x 2x 2x 2x 3x 3

129:3x 43

946:2x 11x 43

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 43 = 2322

Therefore, the value for common factors is 2322.

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 = 4952498988096/(1x2322)

LCM = 4952498988096/2322

LCM = 2132859168

Thus, we can understand that the LCM of 459,307,288,129,946 is 2132859168.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 459, 307, 288, 129, 946

1. What is the LCM of 459, 307, 288, 129, 946?

Answer: LCM of 459, 307, 288, 129, 946 is 2132859168.

2. How to calculate the LCM of 459, 307, 288, 129, 946?

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 459, 307, 288, 129, 946.

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}.