LCM of 882, 785, 839, 589, 560
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 785, 839, 589, 560 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, 785, 839, 589, 560. So, keep reading to learn more.
Given numbers are 882,785,839,589,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,785,839,589,560 is 2737193402160.
Find LCM of 882,785,839,589,560 with Prime Factorization
| 2 | 882, 785, 839, 589, 560 |
| 5 | 441, 785, 839, 589, 280 |
| 7 | 441, 157, 839, 589, 56 |
| 63, 157, 839, 589, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 63 x 157 x 839 x 589 x 8 = 2737193402160
Therefore, the lowest common multiple of 882,785,839,589,560 is 2737193402160.
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 785 x 839 x 589 x 560 = 191603538151200
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
785 : 1, 5, 157, 785
839 : 1, 839
589 : 1, 19, 31, 589
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,785,839,589,560, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
785:5x 157
839:839
589:19x 31
560:2x 2x 2x 2x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7 = 70
Therefore, the value for common factors is 70.
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 = 191603538151200/(1x70)
LCM = 191603538151200/70
LCM = 2737193402160
Thus, we can understand that the LCM of 882,785,839,589,560 is 2737193402160.
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FAQs on LCM of 882, 785, 839, 589, 560
1. What is the LCM of 882, 785, 839, 589, 560?
Answer: LCM of 882, 785, 839, 589, 560 is 2737193402160.
2. How to calculate the LCM of 882, 785, 839, 589, 560?
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, 785, 839, 589, 560.
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}.