LCM of 306, 931, 372, 505, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 306, 931, 372, 505, 969 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 306, 931, 372, 505, 969. So, keep reading to learn more.
Given numbers are 306,931,372,505,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 306,931,372,505,969 is 8919780660.
Find LCM of 306,931,372,505,969 with Prime Factorization
| 2 | 306, 931, 372, 505, 969 |
| 3 | 153, 931, 186, 505, 969 |
| 17 | 51, 931, 62, 505, 323 |
| 19 | 3, 931, 62, 505, 19 |
| 3, 49, 62, 505, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 19 x 3 x 49 x 62 x 505 x 1 = 8919780660
Therefore, the lowest common multiple of 306,931,372,505,969 is 8919780660.
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.
306 x 931 x 372 x 505 x 969 = 51859604757240
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.
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
931 : 1, 7, 19, 49, 133, 931
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
505 : 1, 5, 101, 505
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,931,372,505,969, is 1.
Now, the common factors can be found like this.
306:2x 3x 3x 17
931:7x 7x 19
372:2x 2x 3x 31
505:5x 101
969:3x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 17x 19 = 5814
Therefore, the value for common factors is 5814.
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 = 51859604757240/(1x5814)
LCM = 51859604757240/5814
LCM = 8919780660
Thus, we can understand that the LCM of 306,931,372,505,969 is 8919780660.
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FAQs on LCM of 306, 931, 372, 505, 969
1. What is the LCM of 306, 931, 372, 505, 969?
Answer: LCM of 306, 931, 372, 505, 969 is 8919780660.
2. How to calculate the LCM of 306, 931, 372, 505, 969?
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 306, 931, 372, 505, 969.
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}.