LCM of 689, 998, 763, 788, 981
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 998, 763, 788, 981 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 689, 998, 763, 788, 981. So, keep reading to learn more.
Given numbers are 689,998,763,788,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,998,763,788,981 is 1860428707956.
Find LCM of 689,998,763,788,981 with Prime Factorization
| 2 | 689, 998, 763, 788, 981 |
| 109 | 689, 499, 763, 394, 981 |
| 689, 499, 7, 394, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 109 x 689 x 499 x 7 x 394 x 9 = 1860428707956
Therefore, the lowest common multiple of 689,998,763,788,981 is 1860428707956.
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.
689 x 998 x 763 x 788 x 981 = 405573458334408
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.
689 : 1, 13, 53, 689
998 : 1, 2, 499, 998
763 : 1, 7, 109, 763
788 : 1, 2, 4, 197, 394, 788
981 : 1, 3, 9, 109, 327, 981
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,998,763,788,981, is 1.
Now, the common factors can be found like this.
689:13x 53
998:2x 499
763:7x 109
788:2x 2x 197
981:3x 3x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 109 = 218
Therefore, the value for common factors is 218.
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 = 405573458334408/(1x218)
LCM = 405573458334408/218
LCM = 1860428707956
Thus, we can understand that the LCM of 689,998,763,788,981 is 1860428707956.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 689, 998, 763, 788, 981
1. What is the LCM of 689, 998, 763, 788, 981?
Answer: LCM of 689, 998, 763, 788, 981 is 1860428707956.
2. How to calculate the LCM of 689, 998, 763, 788, 981?
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 689, 998, 763, 788, 981.
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}.