LCM of 893, 658, 706, 939, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 893, 658, 706, 939, 990 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 893, 658, 706, 939, 990. So, keep reading to learn more.
Given numbers are 893,658,706,939,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,658,706,939,990 is 683760071610.
Find LCM of 893,658,706,939,990 with Prime Factorization
| 2 | 893, 658, 706, 939, 990 |
| 3 | 893, 329, 353, 939, 495 |
| 47 | 893, 329, 353, 313, 165 |
| 19, 7, 353, 313, 165 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 47 x 19 x 7 x 353 x 313 x 165 = 683760071610
Therefore, the lowest common multiple of 893,658,706,939,990 is 683760071610.
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.
893 x 658 x 706 x 939 x 990 = 385640680388040
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.
893 : 1, 19, 47, 893
658 : 1, 2, 7, 14, 47, 94, 329, 658
706 : 1, 2, 353, 706
939 : 1, 3, 313, 939
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,658,706,939,990, is 1.
Now, the common factors can be found like this.
893:19x 47
658:2x 7x 47
706:2x 353
939:3x 313
990:2x 3x 3x 5x 11
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 47 = 564
Therefore, the value for common factors is 564.
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 = 385640680388040/(1x564)
LCM = 385640680388040/564
LCM = 683760071610
Thus, we can understand that the LCM of 893,658,706,939,990 is 683760071610.
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FAQs on LCM of 893, 658, 706, 939, 990
1. What is the LCM of 893, 658, 706, 939, 990?
Answer: LCM of 893, 658, 706, 939, 990 is 683760071610.
2. How to calculate the LCM of 893, 658, 706, 939, 990?
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 893, 658, 706, 939, 990.
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}.