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LCM of 930, 566, 720, 440, 129

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


Find the LCM of 930, 566, 720, 440, 129 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 930, 566, 720, 440, 129. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 930,566,720,440,129

Given numbers are 930,566,720,440,129

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

The LCM of 930,566,720,440,129 is 2987732880.

Find LCM of 930,566,720,440,129 with Prime Factorization


2 930, 566, 720, 440, 129
2 465, 283, 360, 220, 129
2 465, 283, 180, 110, 129
3 465, 283, 90, 55, 129
5 155, 283, 30, 55, 43
31, 283, 6, 11, 43

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

2 x 2 x 2 x 3 x 5 x 31 x 283 x 6 x 11 x 43 = 2987732880

Therefore, the lowest common multiple of 930,566,720,440,129 is 2987732880.

LCM Formula to Find Lowest Common Multiple of 930,566,720,440,129

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.

930 x 566 x 720 x 440 x 129 = 21511676736000

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.

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

566 : 1, 2, 283, 566

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

129 : 1, 3, 43, 129

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,566,720,440,129, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

566:2x 283

720:2x 2x 2x 2x 3x 3x 5

440:2x 2x 2x 5x 11

129:3x 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 2x 2x 2x 2x 3x 3x 5x 5 = 7200

Therefore, the value for common factors is 7200.

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 = 21511676736000/(1x7200)

LCM = 21511676736000/7200

LCM = 2987732880

Thus, we can understand that the LCM of 930,566,720,440,129 is 2987732880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 930, 566, 720, 440, 129

1. What is the LCM of 930, 566, 720, 440, 129?

Answer: LCM of 930, 566, 720, 440, 129 is 2987732880.

2. How to calculate the LCM of 930, 566, 720, 440, 129?

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 930, 566, 720, 440, 129.

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}.