LCM of 990, 607, 820, 781
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 990, 607, 820, 781 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 990, 607, 820, 781. So, keep reading to learn more.
Given numbers are 990,607,820,781
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 990,607,820,781 is 3498614460.
Find LCM of 990,607,820,781 with Prime Factorization
| 2 | 990, 607, 820, 781 |
| 5 | 495, 607, 410, 781 |
| 11 | 99, 607, 82, 781 |
| 9, 607, 82, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 9 x 607 x 82 x 71 = 3498614460
Therefore, the lowest common multiple of 990,607,820,781 is 3498614460.
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.
990 x 607 x 820 x 781 = 384847590600
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.
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
607 : 1, 607
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
781 : 1, 11, 71, 781
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,607,820,781, is 1.
Now, the common factors can be found like this.
990:2x 3x 3x 5x 11
607:607
820:2x 2x 5x 41
781:11x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11 = 110
Therefore, the value for common factors is 110.
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 = 384847590600/(1x110)
LCM = 384847590600/110
LCM = 3498614460
Thus, we can understand that the LCM of 990,607,820,781 is 3498614460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 990, 607, 820, 781
1. What is the LCM of 990, 607, 820, 781?
Answer: LCM of 990, 607, 820, 781 is 3498614460.
2. How to calculate the LCM of 990, 607, 820, 781?
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 990, 607, 820, 781.
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}.