LCM of 192, 460, 676, 200, 386
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 192, 460, 676, 200, 386 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 192, 460, 676, 200, 386. So, keep reading to learn more.
Given numbers are 192,460,676,200,386
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 192,460,676,200,386 is 3600916800.
Find LCM of 192,460,676,200,386 with Prime Factorization
| 2 | 192, 460, 676, 200, 386 |
| 2 | 96, 230, 338, 100, 193 |
| 2 | 48, 115, 169, 50, 193 |
| 5 | 24, 115, 169, 25, 193 |
| 24, 23, 169, 5, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 24 x 23 x 169 x 5 x 193 = 3600916800
Therefore, the lowest common multiple of 192,460,676,200,386 is 3600916800.
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.
192 x 460 x 676 x 200 x 386 = 4609173504000
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.
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
386 : 1, 2, 193, 386
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,460,676,200,386, is 2.
Now, the common factors can be found like this.
192:2x 2x 2x 2x 2x 2x 3
460:2x 2x 5x 23
676:2x 2x 13x 13
200:2x 2x 2x 5x 5
386:2x 193
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 2x 5 = 640
Therefore, the value for common factors is 640.
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 = 4609173504000/(2x640)
LCM = 4609173504000/1280
LCM = 3600916800
Thus, we can understand that the LCM of 192,460,676,200,386 is 3600916800.
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FAQs on LCM of 192, 460, 676, 200, 386
1. What is the LCM of 192, 460, 676, 200, 386?
Answer: LCM of 192, 460, 676, 200, 386 is 3600916800.
2. How to calculate the LCM of 192, 460, 676, 200, 386?
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 192, 460, 676, 200, 386.
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}.