LCM of 414, 902, 798, 969, 170
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 414, 902, 798, 969, 170 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 414, 902, 798, 969, 170. So, keep reading to learn more.
Given numbers are 414,902,798,969,170
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 414,902,798,969,170 is 2110801770.
Find LCM of 414,902,798,969,170 with Prime Factorization
| 2 | 414, 902, 798, 969, 170 |
| 3 | 207, 451, 399, 969, 85 |
| 17 | 69, 451, 133, 323, 85 |
| 19 | 69, 451, 133, 19, 5 |
| 69, 451, 7, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 19 x 69 x 451 x 7 x 1 x 5 = 2110801770
Therefore, the lowest common multiple of 414,902,798,969,170 is 2110801770.
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.
414 x 902 x 798 x 969 x 170 = 49088805963120
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.
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
902 : 1, 2, 11, 22, 41, 82, 451, 902
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
969 : 1, 3, 17, 19, 51, 57, 323, 969
170 : 1, 2, 5, 10, 17, 34, 85, 170
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,902,798,969,170, is 1.
Now, the common factors can be found like this.
414:2x 3x 3x 23
902:2x 11x 41
798:2x 3x 7x 19
969:3x 17x 19
170:2x 5x 17
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 2x 3x 3x 17x 19 = 23256
Therefore, the value for common factors is 23256.
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 = 49088805963120/(1x23256)
LCM = 49088805963120/23256
LCM = 2110801770
Thus, we can understand that the LCM of 414,902,798,969,170 is 2110801770.
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FAQs on LCM of 414, 902, 798, 969, 170
1. What is the LCM of 414, 902, 798, 969, 170?
Answer: LCM of 414, 902, 798, 969, 170 is 2110801770.
2. How to calculate the LCM of 414, 902, 798, 969, 170?
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 414, 902, 798, 969, 170.
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}.