LCM of 822, 391, 183, 989, 918
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 391, 183, 989, 918 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 822, 391, 183, 989, 918. So, keep reading to learn more.
Given numbers are 822,391,183,989,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,391,183,989,918 is 7587337014.
Find LCM of 822,391,183,989,918 with Prime Factorization
| 2 | 822, 391, 183, 989, 918 |
| 3 | 411, 391, 183, 989, 459 |
| 17 | 137, 391, 61, 989, 153 |
| 23 | 137, 23, 61, 989, 9 |
| 137, 1, 61, 43, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 23 x 137 x 1 x 61 x 43 x 9 = 7587337014
Therefore, the lowest common multiple of 822,391,183,989,918 is 7587337014.
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.
822 x 391 x 183 x 989 x 918 = 53399677904532
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
391 : 1, 17, 23, 391
183 : 1, 3, 61, 183
989 : 1, 23, 43, 989
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,391,183,989,918, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
391:17x 23
183:3x 61
989:23x 43
918:2x 3x 3x 3x 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 3x 3x 17x 23 = 7038
Therefore, the value for common factors is 7038.
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 = 53399677904532/(1x7038)
LCM = 53399677904532/7038
LCM = 7587337014
Thus, we can understand that the LCM of 822,391,183,989,918 is 7587337014.
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FAQs on LCM of 822, 391, 183, 989, 918
1. What is the LCM of 822, 391, 183, 989, 918?
Answer: LCM of 822, 391, 183, 989, 918 is 7587337014.
2. How to calculate the LCM of 822, 391, 183, 989, 918?
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 822, 391, 183, 989, 918.
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}.