LCM of 805, 933, 910, 189, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 805, 933, 910, 189, 209 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 805, 933, 910, 189, 209. So, keep reading to learn more.
Given numbers are 805,933,910,189,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 805,933,910,189,209 is 36731584890.
Find LCM of 805,933,910,189,209 with Prime Factorization
| 3 | 805, 933, 910, 189, 209 |
| 5 | 805, 311, 910, 63, 209 |
| 7 | 161, 311, 182, 63, 209 |
| 23, 311, 26, 9, 209 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 23 x 311 x 26 x 9 x 209 = 36731584890
Therefore, the lowest common multiple of 805,933,910,189,209 is 36731584890.
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.
805 x 933 x 910 x 189 x 209 = 26997714894150
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.
805 : 1, 5, 7, 23, 35, 115, 161, 805
933 : 1, 3, 311, 933
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
189 : 1, 3, 7, 9, 21, 27, 63, 189
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,933,910,189,209, is 1.
Now, the common factors can be found like this.
805:5x 7x 23
933:3x 311
910:2x 5x 7x 13
189:3x 3x 3x 7
209:11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7x 7 = 735
Therefore, the value for common factors is 735.
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 = 26997714894150/(1x735)
LCM = 26997714894150/735
LCM = 36731584890
Thus, we can understand that the LCM of 805,933,910,189,209 is 36731584890.
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FAQs on LCM of 805, 933, 910, 189, 209
1. What is the LCM of 805, 933, 910, 189, 209?
Answer: LCM of 805, 933, 910, 189, 209 is 36731584890.
2. How to calculate the LCM of 805, 933, 910, 189, 209?
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 805, 933, 910, 189, 209.
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}.