LCM of 789, 690, 644, 756, 482
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 789, 690, 644, 756, 482 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, 690, 644, 756, 482. So, keep reading to learn more.
Given numbers are 789,690,644,756,482
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 789,690,644,756,482 is 5510518020.
Find LCM of 789,690,644,756,482 with Prime Factorization
| 2 | 789, 690, 644, 756, 482 |
| 2 | 789, 345, 322, 378, 241 |
| 3 | 789, 345, 161, 189, 241 |
| 7 | 263, 115, 161, 63, 241 |
| 23 | 263, 115, 23, 9, 241 |
| 263, 5, 1, 9, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 23 x 263 x 5 x 1 x 9 x 241 = 5510518020
Therefore, the lowest common multiple of 789,690,644,756,482 is 5510518020.
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 690 x 644 x 756 x 482 = 127755849775680
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
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
482 : 1, 2, 241, 482
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,690,644,756,482, is 1.
Now, the common factors can be found like this.
789:3x 263
690:2x 3x 5x 23
644:2x 2x 7x 23
756:2x 2x 3x 3x 3x 7
482:2x 241
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 3x 3x 7x 23 = 23184
Therefore, the value for common factors is 23184.
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 = 127755849775680/(1x23184)
LCM = 127755849775680/23184
LCM = 5510518020
Thus, we can understand that the LCM of 789,690,644,756,482 is 5510518020.
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FAQs on LCM of 789, 690, 644, 756, 482
1. What is the LCM of 789, 690, 644, 756, 482?
Answer: LCM of 789, 690, 644, 756, 482 is 5510518020.
2. How to calculate the LCM of 789, 690, 644, 756, 482?
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, 690, 644, 756, 482.
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}.