LCM of 882, 312, 741, 399, 589
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 312, 741, 399, 589 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, 312, 741, 399, 589. So, keep reading to learn more.
Given numbers are 882,312,741,399,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,312,741,399,589 is 27013896.
Find LCM of 882,312,741,399,589 with Prime Factorization
| 2 | 882, 312, 741, 399, 589 |
| 3 | 441, 156, 741, 399, 589 |
| 7 | 147, 52, 247, 133, 589 |
| 13 | 21, 52, 247, 19, 589 |
| 19 | 21, 4, 19, 19, 589 |
| 21, 4, 1, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 19 x 21 x 4 x 1 x 1 x 31 = 27013896
Therefore, the lowest common multiple of 882,312,741,399,589 is 27013896.
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 312 x 741 x 399 x 589 = 47921408864784
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
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
741 : 1, 3, 13, 19, 39, 57, 247, 741
399 : 1, 3, 7, 19, 21, 57, 133, 399
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,312,741,399,589, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
312:2x 2x 2x 3x 13
741:3x 13x 19
399:3x 7x 19
589:19x 31
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 3x 3x 7x 13x 19x 19 = 1773954
Therefore, the value for common factors is 1773954.
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 = 47921408864784/(1x1773954)
LCM = 47921408864784/1773954
LCM = 27013896
Thus, we can understand that the LCM of 882,312,741,399,589 is 27013896.
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FAQs on LCM of 882, 312, 741, 399, 589
1. What is the LCM of 882, 312, 741, 399, 589?
Answer: LCM of 882, 312, 741, 399, 589 is 27013896.
2. How to calculate the LCM of 882, 312, 741, 399, 589?
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, 312, 741, 399, 589.
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}.