LCM of 720, 709, 429, 990, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 720, 709, 429, 990, 765 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 720, 709, 429, 990, 765. So, keep reading to learn more.
Given numbers are 720,709,429,990,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 720,709,429,990,765 is 1240976880.
Find LCM of 720,709,429,990,765 with Prime Factorization
| 2 | 720, 709, 429, 990, 765 |
| 3 | 360, 709, 429, 495, 765 |
| 3 | 120, 709, 143, 165, 255 |
| 5 | 40, 709, 143, 55, 85 |
| 11 | 8, 709, 143, 11, 17 |
| 8, 709, 13, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 8 x 709 x 13 x 1 x 17 = 1240976880
Therefore, the lowest common multiple of 720,709,429,990,765 is 1240976880.
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.
720 x 709 x 429 x 990 x 765 = 165856560012000
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.
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
709 : 1, 709
429 : 1, 3, 11, 13, 33, 39, 143, 429
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,709,429,990,765, is 1.
Now, the common factors can be found like this.
720:2x 2x 2x 2x 3x 3x 5
709:709
429:3x 11x 13
990:2x 3x 3x 5x 11
765:3x 3x 5x 17
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 3x 5x 5x 11 = 133650
Therefore, the value for common factors is 133650.
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 = 165856560012000/(1x133650)
LCM = 165856560012000/133650
LCM = 1240976880
Thus, we can understand that the LCM of 720,709,429,990,765 is 1240976880.
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FAQs on LCM of 720, 709, 429, 990, 765
1. What is the LCM of 720, 709, 429, 990, 765?
Answer: LCM of 720, 709, 429, 990, 765 is 1240976880.
2. How to calculate the LCM of 720, 709, 429, 990, 765?
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 720, 709, 429, 990, 765.
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}.