LCM of 720, 999, 198, 924, 444
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 720, 999, 198, 924, 444 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 720, 999, 198, 924, 444. So, keep reading to learn more.
Given numbers are 720,999,198,924,444
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 720,999,198,924,444 is 6153840.
Find LCM of 720,999,198,924,444 with Prime Factorization
| 2 | 720, 999, 198, 924, 444 |
| 2 | 360, 999, 99, 462, 222 |
| 3 | 180, 999, 99, 231, 111 |
| 3 | 60, 333, 33, 77, 37 |
| 11 | 20, 111, 11, 77, 37 |
| 37 | 20, 111, 1, 7, 37 |
| 20, 3, 1, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 37 x 20 x 3 x 1 x 7 x 1 = 6153840
Therefore, the lowest common multiple of 720,999,198,924,444 is 6153840.
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.
720 x 999 x 198 x 924 x 444 = 58427609264640
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.
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
999 : 1, 3, 9, 27, 37, 111, 333, 999
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,999,198,924,444, is 3.
Now, the common factors can be found like this.
720:2x 2x 2x 2x 3x 3x 5
999:3x 3x 3x 37
198:2x 3x 3x 11
924:2x 2x 3x 7x 11
444:2x 2x 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 2x 2x 2x 2x 3x 3x 3x 3x 3x 11x 37 = 3164832
Therefore, the value for common factors is 3164832.
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 = 58427609264640/(3x3164832)
LCM = 58427609264640/9494496
LCM = 6153840
Thus, we can understand that the LCM of 720,999,198,924,444 is 6153840.
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FAQs on LCM of 720, 999, 198, 924, 444
1. What is the LCM of 720, 999, 198, 924, 444?
Answer: LCM of 720, 999, 198, 924, 444 is 6153840.
2. How to calculate the LCM of 720, 999, 198, 924, 444?
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 720, 999, 198, 924, 444.
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}.