LCM of 789, 442, 390, 334, 992
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 789, 442, 390, 334, 992 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, 442, 390, 334, 992. So, keep reading to learn more.
Given numbers are 789,442,390,334,992
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 789,442,390,334,992 is 144433330080.
Find LCM of 789,442,390,334,992 with Prime Factorization
| 2 | 789, 442, 390, 334, 992 |
| 3 | 789, 221, 195, 167, 496 |
| 13 | 263, 221, 65, 167, 496 |
| 263, 17, 5, 167, 496 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 263 x 17 x 5 x 167 x 496 = 144433330080
Therefore, the lowest common multiple of 789,442,390,334,992 is 144433330080.
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 442 x 390 x 334 x 992 = 45063198984960
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
442 : 1, 2, 13, 17, 26, 34, 221, 442
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
334 : 1, 2, 167, 334
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,442,390,334,992, is 1.
Now, the common factors can be found like this.
789:3x 263
442:2x 13x 17
390:2x 3x 5x 13
334:2x 167
992:2x 2x 2x 2x 2x 31
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 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 45063198984960/(1x312)
LCM = 45063198984960/312
LCM = 144433330080
Thus, we can understand that the LCM of 789,442,390,334,992 is 144433330080.
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FAQs on LCM of 789, 442, 390, 334, 992
1. What is the LCM of 789, 442, 390, 334, 992?
Answer: LCM of 789, 442, 390, 334, 992 is 144433330080.
2. How to calculate the LCM of 789, 442, 390, 334, 992?
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, 442, 390, 334, 992.
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}.