LCM of 797, 452, 986, 884, 662
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 797, 452, 986, 884, 662 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 797, 452, 986, 884, 662. So, keep reading to learn more.
Given numbers are 797,452,986,884,662
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 797,452,986,884,662 is 764214056476.
Find LCM of 797,452,986,884,662 with Prime Factorization
| 2 | 797, 452, 986, 884, 662 |
| 2 | 797, 226, 493, 442, 331 |
| 17 | 797, 113, 493, 221, 331 |
| 797, 113, 29, 13, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 797 x 113 x 29 x 13 x 331 = 764214056476
Therefore, the lowest common multiple of 797,452,986,884,662 is 764214056476.
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.
797 x 452 x 986 x 884 x 662 = 207866223361472
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.
797 : 1, 797
452 : 1, 2, 4, 113, 226, 452
986 : 1, 2, 17, 29, 34, 58, 493, 986
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
662 : 1, 2, 331, 662
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,452,986,884,662, is 1.
Now, the common factors can be found like this.
797:797
452:2x 2x 113
986:2x 17x 29
884:2x 2x 13x 17
662:2x 331
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 2x 17 = 272
Therefore, the value for common factors is 272.
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 = 207866223361472/(1x272)
LCM = 207866223361472/272
LCM = 764214056476
Thus, we can understand that the LCM of 797,452,986,884,662 is 764214056476.
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FAQs on LCM of 797, 452, 986, 884, 662
1. What is the LCM of 797, 452, 986, 884, 662?
Answer: LCM of 797, 452, 986, 884, 662 is 764214056476.
2. How to calculate the LCM of 797, 452, 986, 884, 662?
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 797, 452, 986, 884, 662.
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}.