LCM of 732, 960, 433, 217, 207
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 732, 960, 433, 217, 207 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 732, 960, 433, 217, 207. So, keep reading to learn more.
Given numbers are 732,960,433,217,207
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,960,433,217,207 is 379662575040.
Find LCM of 732,960,433,217,207 with Prime Factorization
| 2 | 732, 960, 433, 217, 207 |
| 2 | 366, 480, 433, 217, 207 |
| 3 | 183, 240, 433, 217, 207 |
| 61, 80, 433, 217, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 61 x 80 x 433 x 217 x 69 = 379662575040
Therefore, the lowest common multiple of 732,960,433,217,207 is 379662575040.
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.
732 x 960 x 433 x 217 x 207 = 13667852701440
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.
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
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
433 : 1, 433
217 : 1, 7, 31, 217
207 : 1, 3, 9, 23, 69, 207
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,960,433,217,207, is 1.
Now, the common factors can be found like this.
732:2x 2x 3x 61
960:2x 2x 2x 2x 2x 2x 3x 5
433:433
217:7x 31
207:3x 3x 23
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 3 = 36
Therefore, the value for common factors is 36.
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 = 13667852701440/(1x36)
LCM = 13667852701440/36
LCM = 379662575040
Thus, we can understand that the LCM of 732,960,433,217,207 is 379662575040.
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FAQs on LCM of 732, 960, 433, 217, 207
1. What is the LCM of 732, 960, 433, 217, 207?
Answer: LCM of 732, 960, 433, 217, 207 is 379662575040.
2. How to calculate the LCM of 732, 960, 433, 217, 207?
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 732, 960, 433, 217, 207.
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}.