LCM of 682, 755, 667, 345, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 755, 667, 345, 978 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 682, 755, 667, 345, 978. So, keep reading to learn more.
Given numbers are 682,755,667,345,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,755,667,345,978 is 167944590330.
Find LCM of 682,755,667,345,978 with Prime Factorization
| 2 | 682, 755, 667, 345, 978 |
| 3 | 341, 755, 667, 345, 489 |
| 5 | 341, 755, 667, 115, 163 |
| 23 | 341, 151, 667, 23, 163 |
| 341, 151, 29, 1, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 341 x 151 x 29 x 1 x 163 = 167944590330
Therefore, the lowest common multiple of 682,755,667,345,978 is 167944590330.
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.
682 x 755 x 667 x 345 x 978 = 115881767327700
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
755 : 1, 5, 151, 755
667 : 1, 23, 29, 667
345 : 1, 3, 5, 15, 23, 69, 115, 345
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,755,667,345,978, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
755:5x 151
667:23x 29
345:3x 5x 23
978:2x 3x 163
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 5x 23 = 690
Therefore, the value for common factors is 690.
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 = 115881767327700/(1x690)
LCM = 115881767327700/690
LCM = 167944590330
Thus, we can understand that the LCM of 682,755,667,345,978 is 167944590330.
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FAQs on LCM of 682, 755, 667, 345, 978
1. What is the LCM of 682, 755, 667, 345, 978?
Answer: LCM of 682, 755, 667, 345, 978 is 167944590330.
2. How to calculate the LCM of 682, 755, 667, 345, 978?
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 682, 755, 667, 345, 978.
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}.