LCM of 639, 360, 717, 212, 333
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 639, 360, 717, 212, 333 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 639, 360, 717, 212, 333. So, keep reading to learn more.
Given numbers are 639,360,717,212,333
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 639,360,717,212,333 is 11979435240.
Find LCM of 639,360,717,212,333 with Prime Factorization
| 2 | 639, 360, 717, 212, 333 |
| 2 | 639, 180, 717, 106, 333 |
| 3 | 639, 90, 717, 53, 333 |
| 3 | 213, 30, 239, 53, 111 |
| 71, 10, 239, 53, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 71 x 10 x 239 x 53 x 37 = 11979435240
Therefore, the lowest common multiple of 639,360,717,212,333 is 11979435240.
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.
639 x 360 x 717 x 212 x 333 = 11644011053280
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.
639 : 1, 3, 9, 71, 213, 639
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
717 : 1, 3, 239, 717
212 : 1, 2, 4, 53, 106, 212
333 : 1, 3, 9, 37, 111, 333
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 639,360,717,212,333, is 1.
Now, the common factors can be found like this.
639:3x 3x 71
360:2x 2x 2x 3x 3x 5
717:3x 239
212:2x 2x 53
333:3x 3x 37
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 3x 3x 3 = 972
Therefore, the value for common factors is 972.
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 = 11644011053280/(1x972)
LCM = 11644011053280/972
LCM = 11979435240
Thus, we can understand that the LCM of 639,360,717,212,333 is 11979435240.
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FAQs on LCM of 639, 360, 717, 212, 333
1. What is the LCM of 639, 360, 717, 212, 333?
Answer: LCM of 639, 360, 717, 212, 333 is 11979435240.
2. How to calculate the LCM of 639, 360, 717, 212, 333?
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 639, 360, 717, 212, 333.
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}.