LCM of 717, 916, 989, 690, 483
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 916, 989, 690, 483 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 717, 916, 989, 690, 483. So, keep reading to learn more.
Given numbers are 717,916,989,690,483
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,916,989,690,483 is 22734162780.
Find LCM of 717,916,989,690,483 with Prime Factorization
| 2 | 717, 916, 989, 690, 483 |
| 3 | 717, 458, 989, 345, 483 |
| 23 | 239, 458, 989, 115, 161 |
| 239, 458, 43, 5, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 239 x 458 x 43 x 5 x 7 = 22734162780
Therefore, the lowest common multiple of 717,916,989,690,483 is 22734162780.
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.
717 x 916 x 989 x 690 x 483 = 216474697991160
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.
717 : 1, 3, 239, 717
916 : 1, 2, 4, 229, 458, 916
989 : 1, 23, 43, 989
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
483 : 1, 3, 7, 21, 23, 69, 161, 483
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,916,989,690,483, is 1.
Now, the common factors can be found like this.
717:3x 239
916:2x 2x 229
989:23x 43
690:2x 3x 5x 23
483:3x 7x 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 3x 3x 23x 23 = 9522
Therefore, the value for common factors is 9522.
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 = 216474697991160/(1x9522)
LCM = 216474697991160/9522
LCM = 22734162780
Thus, we can understand that the LCM of 717,916,989,690,483 is 22734162780.
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FAQs on LCM of 717, 916, 989, 690, 483
1. What is the LCM of 717, 916, 989, 690, 483?
Answer: LCM of 717, 916, 989, 690, 483 is 22734162780.
2. How to calculate the LCM of 717, 916, 989, 690, 483?
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 717, 916, 989, 690, 483.
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}.