LCM of 371, 990, 979, 462, 659
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 371, 990, 979, 462, 659 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 371, 990, 979, 462, 659. So, keep reading to learn more.
Given numbers are 371,990,979,462,659
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 371,990,979,462,659 is 21541925790.
Find LCM of 371,990,979,462,659 with Prime Factorization
| 2 | 371, 990, 979, 462, 659 |
| 3 | 371, 495, 979, 231, 659 |
| 7 | 371, 165, 979, 77, 659 |
| 11 | 53, 165, 979, 11, 659 |
| 53, 15, 89, 1, 659 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 53 x 15 x 89 x 1 x 659 = 21541925790
Therefore, the lowest common multiple of 371,990,979,462,659 is 21541925790.
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.
371 x 990 x 979 x 462 x 659 = 109476066864780
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.
371 : 1, 7, 53, 371
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
979 : 1, 11, 89, 979
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
659 : 1, 659
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 371,990,979,462,659, is 1.
Now, the common factors can be found like this.
371:7x 53
990:2x 3x 3x 5x 11
979:11x 89
462:2x 3x 7x 11
659:659
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 7x 11x 11 = 5082
Therefore, the value for common factors is 5082.
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 = 109476066864780/(1x5082)
LCM = 109476066864780/5082
LCM = 21541925790
Thus, we can understand that the LCM of 371,990,979,462,659 is 21541925790.
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FAQs on LCM of 371, 990, 979, 462, 659
1. What is the LCM of 371, 990, 979, 462, 659?
Answer: LCM of 371, 990, 979, 462, 659 is 21541925790.
2. How to calculate the LCM of 371, 990, 979, 462, 659?
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 371, 990, 979, 462, 659.
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}.