LCM of 720, 691, 289, 325, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 720, 691, 289, 325, 972 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, 691, 289, 325, 972. So, keep reading to learn more.
Given numbers are 720,691,289,325,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 720,691,289,325,972 is 252339656400.
Find LCM of 720,691,289,325,972 with Prime Factorization
| 2 | 720, 691, 289, 325, 972 |
| 2 | 360, 691, 289, 325, 486 |
| 3 | 180, 691, 289, 325, 243 |
| 3 | 60, 691, 289, 325, 81 |
| 5 | 20, 691, 289, 325, 27 |
| 4, 691, 289, 65, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 4 x 691 x 289 x 65 x 27 = 252339656400
Therefore, the lowest common multiple of 720,691,289,325,972 is 252339656400.
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 691 x 289 x 325 x 972 = 45421138152000
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
691 : 1, 691
289 : 1, 17, 289
325 : 1, 5, 13, 25, 65, 325
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,691,289,325,972, is 1.
Now, the common factors can be found like this.
720:2x 2x 2x 2x 3x 3x 5
691:691
289:17x 17
325:5x 5x 13
972:2x 2x 3x 3x 3x 3x 3
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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 45421138152000/(1x180)
LCM = 45421138152000/180
LCM = 252339656400
Thus, we can understand that the LCM of 720,691,289,325,972 is 252339656400.
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FAQs on LCM of 720, 691, 289, 325, 972
1. What is the LCM of 720, 691, 289, 325, 972?
Answer: LCM of 720, 691, 289, 325, 972 is 252339656400.
2. How to calculate the LCM of 720, 691, 289, 325, 972?
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, 691, 289, 325, 972.
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}.