LCM of 360, 726, 978, 290, 999
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 360, 726, 978, 290, 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 360, 726, 978, 290, 999. So, keep reading to learn more.
Given numbers are 360,726,978,290,999
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 360,726,978,290,999 is 22855801320.
Find LCM of 360,726,978,290,999 with Prime Factorization
| 2 | 360, 726, 978, 290, 999 |
| 3 | 180, 363, 489, 145, 999 |
| 3 | 60, 121, 163, 145, 333 |
| 5 | 20, 121, 163, 145, 111 |
| 4, 121, 163, 29, 111 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 4 x 121 x 163 x 29 x 111 = 22855801320
Therefore, the lowest common multiple of 360,726,978,290,999 is 22855801320.
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.
360 x 726 x 978 x 290 x 999 = 74052796276800
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.
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
978 : 1, 2, 3, 6, 163, 326, 489, 978
290 : 1, 2, 5, 10, 29, 58, 145, 290
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 360,726,978,290,999, is 1.
Now, the common factors can be found like this.
360:2x 2x 2x 3x 3x 5
726:2x 3x 11x 11
978:2x 3x 163
290:2x 5x 29
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 2x 2x 3x 3x 3x 3x 5 = 3240
Therefore, the value for common factors is 3240.
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 = 74052796276800/(1x3240)
LCM = 74052796276800/3240
LCM = 22855801320
Thus, we can understand that the LCM of 360,726,978,290,999 is 22855801320.
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FAQs on LCM of 360, 726, 978, 290, 999
1. What is the LCM of 360, 726, 978, 290, 999?
Answer: LCM of 360, 726, 978, 290, 999 is 22855801320.
2. How to calculate the LCM of 360, 726, 978, 290, 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 360, 726, 978, 290, 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}.