LCM of 160, 676, 446, 200, 846
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 160, 676, 446, 200, 846 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 160, 676, 446, 200, 846. So, keep reading to learn more.
Given numbers are 160,676,446,200,846
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 160,676,446,200,846 is 12753280800.
Find LCM of 160,676,446,200,846 with Prime Factorization
| 2 | 160, 676, 446, 200, 846 |
| 2 | 80, 338, 223, 100, 423 |
| 2 | 40, 169, 223, 50, 423 |
| 5 | 20, 169, 223, 25, 423 |
| 4, 169, 223, 5, 423 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 4 x 169 x 223 x 5 x 423 = 12753280800
Therefore, the lowest common multiple of 160,676,446,200,846 is 12753280800.
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.
160 x 676 x 446 x 200 x 846 = 8162099712000
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.
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
446 : 1, 2, 223, 446
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 160,676,446,200,846, is 2.
Now, the common factors can be found like this.
160:2x 2x 2x 2x 2x 5
676:2x 2x 13x 13
446:2x 223
200:2x 2x 2x 5x 5
846:2x 3x 3x 47
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 2x 2x 2x 5 = 320
Therefore, the value for common factors is 320.
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 = 8162099712000/(2x320)
LCM = 8162099712000/640
LCM = 12753280800
Thus, we can understand that the LCM of 160,676,446,200,846 is 12753280800.
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FAQs on LCM of 160, 676, 446, 200, 846
1. What is the LCM of 160, 676, 446, 200, 846?
Answer: LCM of 160, 676, 446, 200, 846 is 12753280800.
2. How to calculate the LCM of 160, 676, 446, 200, 846?
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 160, 676, 446, 200, 846.
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}.