LCM of 209, 107, 456, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 209, 107, 456, 891 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 209, 107, 456, 891. So, keep reading to learn more.
Given numbers are 209,107,456,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,107,456,891 is 14491224.
Find LCM of 209,107,456,891 with Prime Factorization
| 3 | 209, 107, 456, 891 |
| 11 | 209, 107, 152, 297 |
| 19 | 19, 107, 152, 27 |
| 1, 107, 8, 27 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 19 x 1 x 107 x 8 x 27 = 14491224
Therefore, the lowest common multiple of 209,107,456,891 is 14491224.
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.
209 x 107 x 456 x 891 = 9085997448
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.
209 : 1, 11, 19, 209
107 : 1, 107
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,107,456,891, is 1.
Now, the common factors can be found like this.
209:11x 19
107:107
456:2x 2x 2x 3x 19
891:3x 3x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 19 = 627
Therefore, the value for common factors is 627.
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 = 9085997448/(1x627)
LCM = 9085997448/627
LCM = 14491224
Thus, we can understand that the LCM of 209,107,456,891 is 14491224.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 209, 107, 456, 891
1. What is the LCM of 209, 107, 456, 891?
Answer: LCM of 209, 107, 456, 891 is 14491224.
2. How to calculate the LCM of 209, 107, 456, 891?
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 209, 107, 456, 891.
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}.