LCM of 535, 720, 989, 774, 999
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 535, 720, 989, 774, 999 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 535, 720, 989, 774, 999. So, keep reading to learn more.
Given numbers are 535,720,989,774,999
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,720,989,774,999 is 8457374160.
Find LCM of 535,720,989,774,999 with Prime Factorization
| 2 | 535, 720, 989, 774, 999 |
| 3 | 535, 360, 989, 387, 999 |
| 3 | 535, 120, 989, 129, 333 |
| 5 | 535, 40, 989, 43, 111 |
| 43 | 107, 8, 989, 43, 111 |
| 107, 8, 23, 1, 111 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 43 x 107 x 8 x 23 x 1 x 111 = 8457374160
Therefore, the lowest common multiple of 535,720,989,774,999 is 8457374160.
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.
535 x 720 x 989 x 774 x 999 = 294570341992800
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.
535 : 1, 5, 107, 535
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
989 : 1, 23, 43, 989
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
999 : 1, 3, 9, 27, 37, 111, 333, 999
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,720,989,774,999, is 1.
Now, the common factors can be found like this.
535:5x 107
720:2x 2x 2x 2x 3x 3x 5
989:23x 43
774:2x 3x 3x 43
999:3x 3x 3x 37
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 3x 3x 5x 43 = 34830
Therefore, the value for common factors is 34830.
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 = 294570341992800/(1x34830)
LCM = 294570341992800/34830
LCM = 8457374160
Thus, we can understand that the LCM of 535,720,989,774,999 is 8457374160.
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FAQs on LCM of 535, 720, 989, 774, 999
1. What is the LCM of 535, 720, 989, 774, 999?
Answer: LCM of 535, 720, 989, 774, 999 is 8457374160.
2. How to calculate the LCM of 535, 720, 989, 774, 999?
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 535, 720, 989, 774, 999.
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}.