LCM of 782, 890, 901, 876, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 890, 901, 876, 897 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 782, 890, 901, 876, 897. So, keep reading to learn more.
Given numbers are 782,890,901,876,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,890,901,876,897 is 105017118180.
Find LCM of 782,890,901,876,897 with Prime Factorization
| 2 | 782, 890, 901, 876, 897 |
| 3 | 391, 445, 901, 438, 897 |
| 17 | 391, 445, 901, 146, 299 |
| 23 | 23, 445, 53, 146, 299 |
| 1, 445, 53, 146, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 23 x 1 x 445 x 53 x 146 x 13 = 105017118180
Therefore, the lowest common multiple of 782,890,901,876,897 is 105017118180.
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.
782 x 890 x 901 x 876 x 897 = 492740318500560
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
890 : 1, 2, 5, 10, 89, 178, 445, 890
901 : 1, 17, 53, 901
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,890,901,876,897, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
890:2x 5x 89
901:17x 53
876:2x 2x 3x 73
897:3x 13x 23
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 17x 23 = 4692
Therefore, the value for common factors is 4692.
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 = 492740318500560/(1x4692)
LCM = 492740318500560/4692
LCM = 105017118180
Thus, we can understand that the LCM of 782,890,901,876,897 is 105017118180.
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FAQs on LCM of 782, 890, 901, 876, 897
1. What is the LCM of 782, 890, 901, 876, 897?
Answer: LCM of 782, 890, 901, 876, 897 is 105017118180.
2. How to calculate the LCM of 782, 890, 901, 876, 897?
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 782, 890, 901, 876, 897.
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}.