LCM of 993, 693, 870, 306, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 693, 870, 306, 968 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 993, 693, 870, 306, 968. So, keep reading to learn more.
Given numbers are 993,693,870,306,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,693,870,306,968 is 49757760360.
Find LCM of 993,693,870,306,968 with Prime Factorization
| 2 | 993, 693, 870, 306, 968 |
| 3 | 993, 693, 435, 153, 484 |
| 3 | 331, 231, 145, 51, 484 |
| 11 | 331, 77, 145, 17, 484 |
| 331, 7, 145, 17, 44 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 331 x 7 x 145 x 17 x 44 = 49757760360
Therefore, the lowest common multiple of 993,693,870,306,968 is 49757760360.
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.
993 x 693 x 870 x 306 x 968 = 177336657923040
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.
993 : 1, 3, 331, 993
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,693,870,306,968, is 1.
Now, the common factors can be found like this.
993:3x 331
693:3x 3x 7x 11
870:2x 3x 5x 29
306:2x 3x 3x 17
968:2x 2x 2x 11x 11
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 3x 11 = 3564
Therefore, the value for common factors is 3564.
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 = 177336657923040/(1x3564)
LCM = 177336657923040/3564
LCM = 49757760360
Thus, we can understand that the LCM of 993,693,870,306,968 is 49757760360.
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FAQs on LCM of 993, 693, 870, 306, 968
1. What is the LCM of 993, 693, 870, 306, 968?
Answer: LCM of 993, 693, 870, 306, 968 is 49757760360.
2. How to calculate the LCM of 993, 693, 870, 306, 968?
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 993, 693, 870, 306, 968.
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}.