LCM of 332, 891, 309, 366, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 332, 891, 309, 366, 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 332, 891, 309, 366, 978. So, keep reading to learn more.
Given numbers are 332,891,309,366,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 332,891,309,366,978 is 302949647748.
Find LCM of 332,891,309,366,978 with Prime Factorization
| 2 | 332, 891, 309, 366, 978 |
| 3 | 166, 891, 309, 183, 489 |
| 166, 297, 103, 61, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 166 x 297 x 103 x 61 x 163 = 302949647748
Therefore, the lowest common multiple of 332,891,309,366,978 is 302949647748.
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.
332 x 891 x 309 x 366 x 978 = 32718561956784
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.
332 : 1, 2, 4, 83, 166, 332
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
309 : 1, 3, 103, 309
366 : 1, 2, 3, 6, 61, 122, 183, 366
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 332,891,309,366,978, is 1.
Now, the common factors can be found like this.
332:2x 2x 83
891:3x 3x 3x 3x 11
309:3x 103
366:2x 3x 61
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 2x 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 32718561956784/(1x108)
LCM = 32718561956784/108
LCM = 302949647748
Thus, we can understand that the LCM of 332,891,309,366,978 is 302949647748.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 332, 891, 309, 366, 978
1. What is the LCM of 332, 891, 309, 366, 978?
Answer: LCM of 332, 891, 309, 366, 978 is 302949647748.
2. How to calculate the LCM of 332, 891, 309, 366, 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 332, 891, 309, 366, 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}.