LCM of 493, 960, 986, 817, 994
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 960, 986, 817, 994 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 493, 960, 986, 817, 994. So, keep reading to learn more.
Given numbers are 493,960,986,817,994
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,960,986,817,994 is 192174870720.
Find LCM of 493,960,986,817,994 with Prime Factorization
| 2 | 493, 960, 986, 817, 994 |
| 17 | 493, 480, 493, 817, 497 |
| 29 | 29, 480, 29, 817, 497 |
| 1, 480, 1, 817, 497 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 29 x 1 x 480 x 1 x 817 x 497 = 192174870720
Therefore, the lowest common multiple of 493,960,986,817,994 is 192174870720.
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.
493 x 960 x 986 x 817 x 994 = 378968845059840
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.
493 : 1, 17, 29, 493
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
986 : 1, 2, 17, 29, 34, 58, 493, 986
817 : 1, 19, 43, 817
994 : 1, 2, 7, 14, 71, 142, 497, 994
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,960,986,817,994, is 1.
Now, the common factors can be found like this.
493:17x 29
960:2x 2x 2x 2x 2x 2x 3x 5
986:2x 17x 29
817:19x 43
994:2x 7x 71
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 17x 29 = 1972
Therefore, the value for common factors is 1972.
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 = 378968845059840/(1x1972)
LCM = 378968845059840/1972
LCM = 192174870720
Thus, we can understand that the LCM of 493,960,986,817,994 is 192174870720.
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FAQs on LCM of 493, 960, 986, 817, 994
1. What is the LCM of 493, 960, 986, 817, 994?
Answer: LCM of 493, 960, 986, 817, 994 is 192174870720.
2. How to calculate the LCM of 493, 960, 986, 817, 994?
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 493, 960, 986, 817, 994.
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}.