LCM of 580, 765, 692, 932, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 580, 765, 692, 932, 720 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 580, 765, 692, 932, 720. So, keep reading to learn more.
Given numbers are 580,765,692,932,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 580,765,692,932,720 is 14308082640.
Find LCM of 580,765,692,932,720 with Prime Factorization
| 2 | 580, 765, 692, 932, 720 |
| 2 | 290, 765, 346, 466, 360 |
| 3 | 145, 765, 173, 233, 180 |
| 3 | 145, 255, 173, 233, 60 |
| 5 | 145, 85, 173, 233, 20 |
| 29, 17, 173, 233, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 29 x 17 x 173 x 233 x 4 = 14308082640
Therefore, the lowest common multiple of 580,765,692,932,720 is 14308082640.
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.
580 x 765 x 692 x 932 x 720 = 206036390016000
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.
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
692 : 1, 2, 4, 173, 346, 692
932 : 1, 2, 4, 233, 466, 932
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,765,692,932,720, is 1.
Now, the common factors can be found like this.
580:2x 2x 5x 29
765:3x 3x 5x 17
692:2x 2x 173
932:2x 2x 233
720:2x 2x 2x 2x 3x 3x 5
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 2x 3x 3x 5x 5 = 14400
Therefore, the value for common factors is 14400.
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 = 206036390016000/(1x14400)
LCM = 206036390016000/14400
LCM = 14308082640
Thus, we can understand that the LCM of 580,765,692,932,720 is 14308082640.
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FAQs on LCM of 580, 765, 692, 932, 720
1. What is the LCM of 580, 765, 692, 932, 720?
Answer: LCM of 580, 765, 692, 932, 720 is 14308082640.
2. How to calculate the LCM of 580, 765, 692, 932, 720?
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 580, 765, 692, 932, 720.
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}.