LCM of 936, 709, 159, 504, 417
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 936, 709, 159, 504, 417 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 936, 709, 159, 504, 417. So, keep reading to learn more.
Given numbers are 936,709,159,504,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,709,159,504,417 is 34222426056.
Find LCM of 936,709,159,504,417 with Prime Factorization
| 2 | 936, 709, 159, 504, 417 |
| 2 | 468, 709, 159, 252, 417 |
| 2 | 234, 709, 159, 126, 417 |
| 3 | 117, 709, 159, 63, 417 |
| 3 | 39, 709, 53, 21, 139 |
| 13, 709, 53, 7, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 13 x 709 x 53 x 7 x 139 = 34222426056
Therefore, the lowest common multiple of 936,709,159,504,417 is 34222426056.
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.
936 x 709 x 159 x 504 x 417 = 22176132084288
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.
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
709 : 1, 709
159 : 1, 3, 53, 159
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,709,159,504,417, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
709:709
159:3x 53
504:2x 2x 2x 3x 3x 7
417:3x 139
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 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 22176132084288/(1x648)
LCM = 22176132084288/648
LCM = 34222426056
Thus, we can understand that the LCM of 936,709,159,504,417 is 34222426056.
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FAQs on LCM of 936, 709, 159, 504, 417
1. What is the LCM of 936, 709, 159, 504, 417?
Answer: LCM of 936, 709, 159, 504, 417 is 34222426056.
2. How to calculate the LCM of 936, 709, 159, 504, 417?
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 936, 709, 159, 504, 417.
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}.