LCM of 814, 160, 171, 817, 690
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 160, 171, 817, 690 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 814, 160, 171, 817, 690. So, keep reading to learn more.
Given numbers are 814,160,171,817,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,160,171,817,690 is 11013029280.
Find LCM of 814,160,171,817,690 with Prime Factorization
| 2 | 814, 160, 171, 817, 690 |
| 3 | 407, 80, 171, 817, 345 |
| 5 | 407, 80, 57, 817, 115 |
| 19 | 407, 16, 57, 817, 23 |
| 407, 16, 3, 43, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 407 x 16 x 3 x 43 x 23 = 11013029280
Therefore, the lowest common multiple of 814,160,171,817,690 is 11013029280.
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.
814 x 160 x 171 x 817 x 690 = 12554853379200
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
171 : 1, 3, 9, 19, 57, 171
817 : 1, 19, 43, 817
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,160,171,817,690, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
160:2x 2x 2x 2x 2x 5
171:3x 3x 19
817:19x 43
690:2x 3x 5x 23
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 19 = 1140
Therefore, the value for common factors is 1140.
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 = 12554853379200/(1x1140)
LCM = 12554853379200/1140
LCM = 11013029280
Thus, we can understand that the LCM of 814,160,171,817,690 is 11013029280.
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FAQs on LCM of 814, 160, 171, 817, 690
1. What is the LCM of 814, 160, 171, 817, 690?
Answer: LCM of 814, 160, 171, 817, 690 is 11013029280.
2. How to calculate the LCM of 814, 160, 171, 817, 690?
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 814, 160, 171, 817, 690.
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}.