LCM of 789, 988, 945, 462, 107
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 789, 988, 945, 462, 107 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, 988, 945, 462, 107. So, keep reading to learn more.
Given numbers are 789,988,945,462,107
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 789,988,945,462,107 is 289015386660.
Find LCM of 789,988,945,462,107 with Prime Factorization
| 2 | 789, 988, 945, 462, 107 |
| 3 | 789, 494, 945, 231, 107 |
| 7 | 263, 494, 315, 77, 107 |
| 263, 494, 45, 11, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 263 x 494 x 45 x 11 x 107 = 289015386660
Therefore, the lowest common multiple of 789,988,945,462,107 is 289015386660.
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 988 x 945 x 462 x 107 = 36415938719160
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
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
107 : 1, 107
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,988,945,462,107, is 1.
Now, the common factors can be found like this.
789:3x 263
988:2x 2x 13x 19
945:3x 3x 3x 5x 7
462:2x 3x 7x 11
107:107
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 7 = 126
Therefore, the value for common factors is 126.
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 = 36415938719160/(1x126)
LCM = 36415938719160/126
LCM = 289015386660
Thus, we can understand that the LCM of 789,988,945,462,107 is 289015386660.
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FAQs on LCM of 789, 988, 945, 462, 107
1. What is the LCM of 789, 988, 945, 462, 107?
Answer: LCM of 789, 988, 945, 462, 107 is 289015386660.
2. How to calculate the LCM of 789, 988, 945, 462, 107?
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, 988, 945, 462, 107.
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}.