LCM of 446, 658, 789, 400, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 446, 658, 789, 400, 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 446, 658, 789, 400, 990. So, keep reading to learn more.
Given numbers are 446,658,789,400,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 446,658,789,400,990 is 764102631600.
Find LCM of 446,658,789,400,990 with Prime Factorization
| 2 | 446, 658, 789, 400, 990 |
| 3 | 223, 329, 789, 200, 495 |
| 5 | 223, 329, 263, 200, 165 |
| 223, 329, 263, 40, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 223 x 329 x 263 x 40 x 33 = 764102631600
Therefore, the lowest common multiple of 446,658,789,400,990 is 764102631600.
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.
446 x 658 x 789 x 400 x 990 = 91692315792000
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.
446 : 1, 2, 223, 446
658 : 1, 2, 7, 14, 47, 94, 329, 658
789 : 1, 3, 263, 789
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
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 446,658,789,400,990, is 1.
Now, the common factors can be found like this.
446:2x 223
658:2x 7x 47
789:3x 263
400:2x 2x 2x 2x 5x 5
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 2x 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 91692315792000/(1x120)
LCM = 91692315792000/120
LCM = 764102631600
Thus, we can understand that the LCM of 446,658,789,400,990 is 764102631600.
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FAQs on LCM of 446, 658, 789, 400, 990
1. What is the LCM of 446, 658, 789, 400, 990?
Answer: LCM of 446, 658, 789, 400, 990 is 764102631600.
2. How to calculate the LCM of 446, 658, 789, 400, 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 446, 658, 789, 400, 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}.