LCM of 359, 351, 414, 614, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 359, 351, 414, 614, 900 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 359, 351, 414, 614, 900. So, keep reading to learn more.
Given numbers are 359,351,414,614,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,351,414,614,900 is 88974954900.
Find LCM of 359,351,414,614,900 with Prime Factorization
| 2 | 359, 351, 414, 614, 900 |
| 3 | 359, 351, 207, 307, 450 |
| 3 | 359, 117, 69, 307, 150 |
| 359, 39, 23, 307, 50 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 359 x 39 x 23 x 307 x 50 = 88974954900
Therefore, the lowest common multiple of 359,351,414,614,900 is 88974954900.
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.
359 x 351 x 414 x 614 x 900 = 28827885387600
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.
359 : 1, 359
351 : 1, 3, 9, 13, 27, 39, 117, 351
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
614 : 1, 2, 307, 614
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,351,414,614,900, is 1.
Now, the common factors can be found like this.
359:359
351:3x 3x 3x 13
414:2x 3x 3x 23
614:2x 307
900:2x 2x 3x 3x 5x 5
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 3 = 324
Therefore, the value for common factors is 324.
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 = 28827885387600/(1x324)
LCM = 28827885387600/324
LCM = 88974954900
Thus, we can understand that the LCM of 359,351,414,614,900 is 88974954900.
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FAQs on LCM of 359, 351, 414, 614, 900
1. What is the LCM of 359, 351, 414, 614, 900?
Answer: LCM of 359, 351, 414, 614, 900 is 88974954900.
2. How to calculate the LCM of 359, 351, 414, 614, 900?
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 359, 351, 414, 614, 900.
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}.