LCM of 359, 667, 247, 978, 290
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 359, 667, 247, 978, 290 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 359, 667, 247, 978, 290. So, keep reading to learn more.
Given numbers are 359,667,247,978,290
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,667,247,978,290 is 289218516990.
Find LCM of 359,667,247,978,290 with Prime Factorization
| 2 | 359, 667, 247, 978, 290 |
| 29 | 359, 667, 247, 489, 145 |
| 359, 23, 247, 489, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 359 x 23 x 247 x 489 x 5 = 289218516990
Therefore, the lowest common multiple of 359,667,247,978,290 is 289218516990.
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.
359 x 667 x 247 x 978 x 290 = 16774673985420
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.
359 : 1, 359
667 : 1, 23, 29, 667
247 : 1, 13, 19, 247
978 : 1, 2, 3, 6, 163, 326, 489, 978
290 : 1, 2, 5, 10, 29, 58, 145, 290
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,667,247,978,290, is 1.
Now, the common factors can be found like this.
359:359
667:23x 29
247:13x 19
978:2x 3x 163
290:2x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 29 = 58
Therefore, the value for common factors is 58.
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 = 16774673985420/(1x58)
LCM = 16774673985420/58
LCM = 289218516990
Thus, we can understand that the LCM of 359,667,247,978,290 is 289218516990.
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FAQs on LCM of 359, 667, 247, 978, 290
1. What is the LCM of 359, 667, 247, 978, 290?
Answer: LCM of 359, 667, 247, 978, 290 is 289218516990.
2. How to calculate the LCM of 359, 667, 247, 978, 290?
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 359, 667, 247, 978, 290.
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}.