LCM of 789, 648, 946, 262, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 789, 648, 946, 262, 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 789, 648, 946, 262, 968. So, keep reading to learn more.
Given numbers are 789,648,946,262,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 789,648,946,262,968 is 116159805432.
Find LCM of 789,648,946,262,968 with Prime Factorization
| 2 | 789, 648, 946, 262, 968 |
| 2 | 789, 324, 473, 131, 484 |
| 2 | 789, 162, 473, 131, 242 |
| 3 | 789, 81, 473, 131, 121 |
| 11 | 263, 27, 473, 131, 121 |
| 263, 27, 43, 131, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 263 x 27 x 43 x 131 x 11 = 116159805432
Therefore, the lowest common multiple of 789,648,946,262,968 is 116159805432.
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.
789 x 648 x 946 x 262 x 968 = 122664754536192
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.
789 : 1, 3, 263, 789
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
946 : 1, 2, 11, 22, 43, 86, 473, 946
262 : 1, 2, 131, 262
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 789,648,946,262,968, is 1.
Now, the common factors can be found like this.
789:3x 263
648:2x 2x 2x 3x 3x 3x 3
946:2x 11x 43
262:2x 131
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 2x 2x 2x 3x 11 = 1056
Therefore, the value for common factors is 1056.
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 = 122664754536192/(1x1056)
LCM = 122664754536192/1056
LCM = 116159805432
Thus, we can understand that the LCM of 789,648,946,262,968 is 116159805432.
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FAQs on LCM of 789, 648, 946, 262, 968
1. What is the LCM of 789, 648, 946, 262, 968?
Answer: LCM of 789, 648, 946, 262, 968 is 116159805432.
2. How to calculate the LCM of 789, 648, 946, 262, 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 789, 648, 946, 262, 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}.