LCM of 514, 697, 378, 252, 943
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 697, 378, 252, 943 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 514, 697, 378, 252, 943. So, keep reading to learn more.
Given numbers are 514,697,378,252,943
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,697,378,252,943 is 3114695052.
Find LCM of 514,697,378,252,943 with Prime Factorization
| 2 | 514, 697, 378, 252, 943 |
| 3 | 257, 697, 189, 126, 943 |
| 3 | 257, 697, 63, 42, 943 |
| 7 | 257, 697, 21, 14, 943 |
| 41 | 257, 697, 3, 2, 943 |
| 257, 17, 3, 2, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 41 x 257 x 17 x 3 x 2 x 23 = 3114695052
Therefore, the lowest common multiple of 514,697,378,252,943 is 3114695052.
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.
514 x 697 x 378 x 252 x 943 = 32181029277264
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.
514 : 1, 2, 257, 514
697 : 1, 17, 41, 697
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
943 : 1, 23, 41, 943
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,697,378,252,943, is 1.
Now, the common factors can be found like this.
514:2x 257
697:17x 41
378:2x 3x 3x 3x 7
252:2x 2x 3x 3x 7
943:23x 41
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 7x 41 = 10332
Therefore, the value for common factors is 10332.
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 = 32181029277264/(1x10332)
LCM = 32181029277264/10332
LCM = 3114695052
Thus, we can understand that the LCM of 514,697,378,252,943 is 3114695052.
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FAQs on LCM of 514, 697, 378, 252, 943
1. What is the LCM of 514, 697, 378, 252, 943?
Answer: LCM of 514, 697, 378, 252, 943 is 3114695052.
2. How to calculate the LCM of 514, 697, 378, 252, 943?
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 514, 697, 378, 252, 943.
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}.