LCM of 578, 770, 990, 981
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 770, 990, 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 578, 770, 990, 981. So, keep reading to learn more.
Given numbers are 578,770,990,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,770,990,981 is 218301930.
Find LCM of 578,770,990,981 with Prime Factorization
| 2 | 578, 770, 990, 981 |
| 3 | 289, 385, 495, 981 |
| 3 | 289, 385, 165, 327 |
| 5 | 289, 385, 55, 109 |
| 11 | 289, 77, 11, 109 |
| 289, 7, 1, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 289 x 7 x 1 x 109 = 218301930
Therefore, the lowest common multiple of 578,770,990,981 is 218301930.
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.
578 x 770 x 990 x 981 = 432237821400
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.
578 : 1, 2, 17, 34, 289, 578
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
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 578,770,990,981, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
770:2x 5x 7x 11
990:2x 3x 3x 5x 11
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 2x 3x 3x 5x 11 = 1980
Therefore, the value for common factors is 1980.
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 = 432237821400/(1x1980)
LCM = 432237821400/1980
LCM = 218301930
Thus, we can understand that the LCM of 578,770,990,981 is 218301930.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 578, 770, 990, 981
1. What is the LCM of 578, 770, 990, 981?
Answer: LCM of 578, 770, 990, 981 is 218301930.
2. How to calculate the LCM of 578, 770, 990, 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 578, 770, 990, 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}.