LCM of 234, 787, 489, 465, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 234, 787, 489, 465, 420 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 234, 787, 489, 465, 420. So, keep reading to learn more.
Given numbers are 234,787,489,465,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,787,489,465,420 is 65138526180.
Find LCM of 234,787,489,465,420 with Prime Factorization
| 2 | 234, 787, 489, 465, 420 |
| 3 | 117, 787, 489, 465, 210 |
| 5 | 39, 787, 163, 155, 70 |
| 39, 787, 163, 31, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 39 x 787 x 163 x 31 x 14 = 65138526180
Therefore, the lowest common multiple of 234,787,489,465,420 is 65138526180.
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.
234 x 787 x 489 x 465 x 420 = 17587402068600
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.
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
787 : 1, 787
489 : 1, 3, 163, 489
465 : 1, 3, 5, 15, 31, 93, 155, 465
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,787,489,465,420, is 1.
Now, the common factors can be found like this.
234:2x 3x 3x 13
787:787
489:3x 163
465:3x 5x 31
420:2x 2x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 17587402068600/(1x270)
LCM = 17587402068600/270
LCM = 65138526180
Thus, we can understand that the LCM of 234,787,489,465,420 is 65138526180.
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FAQs on LCM of 234, 787, 489, 465, 420
1. What is the LCM of 234, 787, 489, 465, 420?
Answer: LCM of 234, 787, 489, 465, 420 is 65138526180.
2. How to calculate the LCM of 234, 787, 489, 465, 420?
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 234, 787, 489, 465, 420.
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}.