LCM of 855, 221, 814, 962, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 221, 814, 962, 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 855, 221, 814, 962, 209. So, keep reading to learn more.
Given numbers are 855,221,814,962,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,221,814,962,209 is 153809370.
Find LCM of 855,221,814,962,209 with Prime Factorization
| 2 | 855, 221, 814, 962, 209 |
| 11 | 855, 221, 407, 481, 209 |
| 13 | 855, 221, 37, 481, 19 |
| 19 | 855, 17, 37, 37, 19 |
| 37 | 45, 17, 37, 37, 1 |
| 45, 17, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 19 x 37 x 45 x 17 x 1 x 1 x 1 = 153809370
Therefore, the lowest common multiple of 855,221,814,962,209 is 153809370.
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.
855 x 221 x 814 x 962 x 209 = 30924604313460
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
221 : 1, 13, 17, 221
814 : 1, 2, 11, 22, 37, 74, 407, 814
962 : 1, 2, 13, 26, 37, 74, 481, 962
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,221,814,962,209, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
221:13x 17
814:2x 11x 37
962:2x 13x 37
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.
2x 11x 13x 19x 37 = 201058
Therefore, the value for common factors is 201058.
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 = 30924604313460/(1x201058)
LCM = 30924604313460/201058
LCM = 153809370
Thus, we can understand that the LCM of 855,221,814,962,209 is 153809370.
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FAQs on LCM of 855, 221, 814, 962, 209
1. What is the LCM of 855, 221, 814, 962, 209?
Answer: LCM of 855, 221, 814, 962, 209 is 153809370.
2. How to calculate the LCM of 855, 221, 814, 962, 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 855, 221, 814, 962, 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}.