LCM of 936, 324, 731, 712, 153
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 936, 324, 731, 712, 153 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, 324, 731, 712, 153. So, keep reading to learn more.
Given numbers are 936,324,731,712,153
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,324,731,712,153 is 548057016.
Find LCM of 936,324,731,712,153 with Prime Factorization
| 2 | 936, 324, 731, 712, 153 |
| 2 | 468, 162, 731, 356, 153 |
| 2 | 234, 81, 731, 178, 153 |
| 3 | 117, 81, 731, 89, 153 |
| 3 | 39, 27, 731, 89, 51 |
| 17 | 13, 9, 731, 89, 17 |
| 13, 9, 43, 89, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 17 x 13 x 9 x 43 x 89 x 1 = 548057016
Therefore, the lowest common multiple of 936,324,731,712,153 is 548057016.
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 324 x 731 x 712 x 153 = 24149584353024
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
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
731 : 1, 17, 43, 731
712 : 1, 2, 4, 8, 89, 178, 356, 712
153 : 1, 3, 9, 17, 51, 153
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,324,731,712,153, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
324:2x 2x 3x 3x 3x 3
731:17x 43
712:2x 2x 2x 89
153:3x 3x 17
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 2x 3x 3x 3x 3x 17 = 44064
Therefore, the value for common factors is 44064.
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 = 24149584353024/(1x44064)
LCM = 24149584353024/44064
LCM = 548057016
Thus, we can understand that the LCM of 936,324,731,712,153 is 548057016.
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FAQs on LCM of 936, 324, 731, 712, 153
1. What is the LCM of 936, 324, 731, 712, 153?
Answer: LCM of 936, 324, 731, 712, 153 is 548057016.
2. How to calculate the LCM of 936, 324, 731, 712, 153?
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, 324, 731, 712, 153.
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}.