LCM of 882, 930, 665, 372, 539
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 930, 665, 372, 539 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 882, 930, 665, 372, 539. So, keep reading to learn more.
Given numbers are 882,930,665,372,539
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,930,665,372,539 is 57144780.
Find LCM of 882,930,665,372,539 with Prime Factorization
| 2 | 882, 930, 665, 372, 539 |
| 3 | 441, 465, 665, 186, 539 |
| 5 | 147, 155, 665, 62, 539 |
| 7 | 147, 31, 133, 62, 539 |
| 7 | 21, 31, 19, 62, 77 |
| 31 | 3, 31, 19, 62, 11 |
| 3, 1, 19, 2, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 7 x 31 x 3 x 1 x 19 x 2 x 11 = 57144780
Therefore, the lowest common multiple of 882,930,665,372,539 is 57144780.
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.
882 x 930 x 665 x 372 x 539 = 109371680233200
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.
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
665 : 1, 5, 7, 19, 35, 95, 133, 665
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
539 : 1, 7, 11, 49, 77, 539
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,930,665,372,539, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
930:2x 3x 5x 31
665:5x 7x 19
372:2x 2x 3x 31
539:7x 7x 11
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 5x 7x 7x 7x 31 = 1913940
Therefore, the value for common factors is 1913940.
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 = 109371680233200/(1x1913940)
LCM = 109371680233200/1913940
LCM = 57144780
Thus, we can understand that the LCM of 882,930,665,372,539 is 57144780.
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FAQs on LCM of 882, 930, 665, 372, 539
1. What is the LCM of 882, 930, 665, 372, 539?
Answer: LCM of 882, 930, 665, 372, 539 is 57144780.
2. How to calculate the LCM of 882, 930, 665, 372, 539?
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 882, 930, 665, 372, 539.
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}.