LCM of 854, 888, 336, 386, 305
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 854, 888, 336, 386, 305 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 854, 888, 336, 386, 305. So, keep reading to learn more.
Given numbers are 854,888,336,386,305
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 854,888,336,386,305 is 731809680.
Find LCM of 854,888,336,386,305 with Prime Factorization
| 2 | 854, 888, 336, 386, 305 |
| 2 | 427, 444, 168, 193, 305 |
| 2 | 427, 222, 84, 193, 305 |
| 3 | 427, 111, 42, 193, 305 |
| 7 | 427, 37, 14, 193, 305 |
| 61 | 61, 37, 2, 193, 305 |
| 1, 37, 2, 193, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 61 x 1 x 37 x 2 x 193 x 5 = 731809680
Therefore, the lowest common multiple of 854,888,336,386,305 is 731809680.
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.
854 x 888 x 336 x 386 x 305 = 29998342402560
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.
854 : 1, 2, 7, 14, 61, 122, 427, 854
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
386 : 1, 2, 193, 386
305 : 1, 5, 61, 305
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,888,336,386,305, is 1.
Now, the common factors can be found like this.
854:2x 7x 61
888:2x 2x 2x 3x 37
336:2x 2x 2x 2x 3x 7
386:2x 193
305:5x 61
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 3x 7x 61 = 40992
Therefore, the value for common factors is 40992.
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 = 29998342402560/(1x40992)
LCM = 29998342402560/40992
LCM = 731809680
Thus, we can understand that the LCM of 854,888,336,386,305 is 731809680.
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FAQs on LCM of 854, 888, 336, 386, 305
1. What is the LCM of 854, 888, 336, 386, 305?
Answer: LCM of 854, 888, 336, 386, 305 is 731809680.
2. How to calculate the LCM of 854, 888, 336, 386, 305?
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 854, 888, 336, 386, 305.
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}.