LCM of 987, 765, 758, 330, 835
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 765, 758, 330, 835 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 987, 765, 758, 330, 835. So, keep reading to learn more.
Given numbers are 987,765,758,330,835
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,765,758,330,835 is 350457771510.
Find LCM of 987,765,758,330,835 with Prime Factorization
| 2 | 987, 765, 758, 330, 835 |
| 3 | 987, 765, 379, 165, 835 |
| 5 | 329, 255, 379, 55, 835 |
| 329, 51, 379, 11, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 329 x 51 x 379 x 11 x 167 = 350457771510
Therefore, the lowest common multiple of 987,765,758,330,835 is 350457771510.
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.
987 x 765 x 758 x 330 x 835 = 157705997179500
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.
987 : 1, 3, 7, 21, 47, 141, 329, 987
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
758 : 1, 2, 379, 758
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
835 : 1, 5, 167, 835
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,765,758,330,835, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
765:3x 3x 5x 17
758:2x 379
330:2x 3x 5x 11
835:5x 167
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 5x 5 = 450
Therefore, the value for common factors is 450.
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 = 157705997179500/(1x450)
LCM = 157705997179500/450
LCM = 350457771510
Thus, we can understand that the LCM of 987,765,758,330,835 is 350457771510.
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FAQs on LCM of 987, 765, 758, 330, 835
1. What is the LCM of 987, 765, 758, 330, 835?
Answer: LCM of 987, 765, 758, 330, 835 is 350457771510.
2. How to calculate the LCM of 987, 765, 758, 330, 835?
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 987, 765, 758, 330, 835.
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}.