LCM of 930, 645, 961, 108, 183
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 930, 645, 961, 108, 183 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 930, 645, 961, 108, 183. So, keep reading to learn more.
Given numbers are 930,645,961,108,183
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 930,645,961,108,183 is 1361179620.
Find LCM of 930,645,961,108,183 with Prime Factorization
| 2 | 930, 645, 961, 108, 183 |
| 3 | 465, 645, 961, 54, 183 |
| 5 | 155, 215, 961, 18, 61 |
| 31 | 31, 43, 961, 18, 61 |
| 1, 43, 31, 18, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 31 x 1 x 43 x 31 x 18 x 61 = 1361179620
Therefore, the lowest common multiple of 930,645,961,108,183 is 1361179620.
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.
930 x 645 x 961 x 108 x 183 = 11393073419400
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.
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
645 : 1, 3, 5, 15, 43, 129, 215, 645
961 : 1, 31, 961
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
183 : 1, 3, 61, 183
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,645,961,108,183, is 1.
Now, the common factors can be found like this.
930:2x 3x 5x 31
645:3x 5x 43
961:31x 31
108:2x 2x 3x 3x 3
183:3x 61
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 3x 5x 31 = 8370
Therefore, the value for common factors is 8370.
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 = 11393073419400/(1x8370)
LCM = 11393073419400/8370
LCM = 1361179620
Thus, we can understand that the LCM of 930,645,961,108,183 is 1361179620.
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FAQs on LCM of 930, 645, 961, 108, 183
1. What is the LCM of 930, 645, 961, 108, 183?
Answer: LCM of 930, 645, 961, 108, 183 is 1361179620.
2. How to calculate the LCM of 930, 645, 961, 108, 183?
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 930, 645, 961, 108, 183.
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}.