LCM of 697, 420, 839, 860, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 420, 839, 860, 288 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 697, 420, 839, 860, 288. So, keep reading to learn more.
Given numbers are 697,420,839,860,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,420,839,860,288 is 253468343520.
Find LCM of 697,420,839,860,288 with Prime Factorization
| 2 | 697, 420, 839, 860, 288 |
| 2 | 697, 210, 839, 430, 144 |
| 3 | 697, 105, 839, 215, 72 |
| 5 | 697, 35, 839, 215, 24 |
| 697, 7, 839, 43, 24 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 697 x 7 x 839 x 43 x 24 = 253468343520
Therefore, the lowest common multiple of 697,420,839,860,288 is 253468343520.
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.
697 x 420 x 839 x 860 x 288 = 60832402444800
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.
697 : 1, 17, 41, 697
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
839 : 1, 839
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,420,839,860,288, is 1.
Now, the common factors can be found like this.
697:17x 41
420:2x 2x 3x 5x 7
839:839
860:2x 2x 5x 43
288:2x 2x 2x 2x 2x 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 2x 2x 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 60832402444800/(1x240)
LCM = 60832402444800/240
LCM = 253468343520
Thus, we can understand that the LCM of 697,420,839,860,288 is 253468343520.
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FAQs on LCM of 697, 420, 839, 860, 288
1. What is the LCM of 697, 420, 839, 860, 288?
Answer: LCM of 697, 420, 839, 860, 288 is 253468343520.
2. How to calculate the LCM of 697, 420, 839, 860, 288?
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 697, 420, 839, 860, 288.
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}.