LCM of 890, 819, 858, 910
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 890, 819, 858, 910 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 890, 819, 858, 910. So, keep reading to learn more.
Given numbers are 890,819,858,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 890,819,858,910 is 8018010.
Find LCM of 890,819,858,910 with Prime Factorization
| 2 | 890, 819, 858, 910 |
| 3 | 445, 819, 429, 455 |
| 5 | 445, 273, 143, 455 |
| 7 | 89, 273, 143, 91 |
| 13 | 89, 39, 143, 13 |
| 89, 3, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 13 x 89 x 3 x 11 x 1 = 8018010
Therefore, the lowest common multiple of 890,819,858,910 is 8018010.
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.
890 x 819 x 858 x 910 = 569118349800
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.
890 : 1, 2, 5, 10, 89, 178, 445, 890
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,819,858,910, is 1.
Now, the common factors can be found like this.
890:2x 5x 89
819:3x 3x 7x 13
858:2x 3x 11x 13
910:2x 5x 7x 13
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 5x 7x 13x 13 = 70980
Therefore, the value for common factors is 70980.
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 = 569118349800/(1x70980)
LCM = 569118349800/70980
LCM = 8018010
Thus, we can understand that the LCM of 890,819,858,910 is 8018010.
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FAQs on LCM of 890, 819, 858, 910
1. What is the LCM of 890, 819, 858, 910?
Answer: LCM of 890, 819, 858, 910 is 8018010.
2. How to calculate the LCM of 890, 819, 858, 910?
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 890, 819, 858, 910.
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}.