LCM of 901, 509, 960, 237, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 901, 509, 960, 237, 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 901, 509, 960, 237, 720. So, keep reading to learn more.
Given numbers are 901,509,960,237,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,509,960,237,720 is 104342719680.
Find LCM of 901,509,960,237,720 with Prime Factorization
| 2 | 901, 509, 960, 237, 720 |
| 2 | 901, 509, 480, 237, 360 |
| 2 | 901, 509, 240, 237, 180 |
| 2 | 901, 509, 120, 237, 90 |
| 3 | 901, 509, 60, 237, 45 |
| 5 | 901, 509, 20, 79, 15 |
| 901, 509, 4, 79, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 901 x 509 x 4 x 79 x 3 = 104342719680
Therefore, the lowest common multiple of 901,509,960,237,720 is 104342719680.
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.
901 x 509 x 960 x 237 x 720 = 75126758169600
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.
901 : 1, 17, 53, 901
509 : 1, 509
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
237 : 1, 3, 79, 237
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 901,509,960,237,720, is 1.
Now, the common factors can be found like this.
901:17x 53
509:509
960:2x 2x 2x 2x 2x 2x 3x 5
237:3x 79
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 3x 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 75126758169600/(1x720)
LCM = 75126758169600/720
LCM = 104342719680
Thus, we can understand that the LCM of 901,509,960,237,720 is 104342719680.
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FAQs on LCM of 901, 509, 960, 237, 720
1. What is the LCM of 901, 509, 960, 237, 720?
Answer: LCM of 901, 509, 960, 237, 720 is 104342719680.
2. How to calculate the LCM of 901, 509, 960, 237, 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 901, 509, 960, 237, 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}.