LCM of 935, 855, 151, 378, 384
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 855, 151, 378, 384 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 935, 855, 151, 378, 384. So, keep reading to learn more.
Given numbers are 935,855,151,378,384
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,855,151,378,384 is 64895402880.
Find LCM of 935,855,151,378,384 with Prime Factorization
| 2 | 935, 855, 151, 378, 384 |
| 3 | 935, 855, 151, 189, 192 |
| 3 | 935, 285, 151, 63, 64 |
| 5 | 935, 95, 151, 21, 64 |
| 187, 19, 151, 21, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 187 x 19 x 151 x 21 x 64 = 64895402880
Therefore, the lowest common multiple of 935,855,151,378,384 is 64895402880.
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.
935 x 855 x 151 x 378 x 384 = 17521758777600
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
151 : 1, 151
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,855,151,378,384, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
855:3x 3x 5x 19
151:151
378:2x 3x 3x 3x 7
384:2x 2x 2x 2x 2x 2x 2x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 17521758777600/(1x270)
LCM = 17521758777600/270
LCM = 64895402880
Thus, we can understand that the LCM of 935,855,151,378,384 is 64895402880.
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FAQs on LCM of 935, 855, 151, 378, 384
1. What is the LCM of 935, 855, 151, 378, 384?
Answer: LCM of 935, 855, 151, 378, 384 is 64895402880.
2. How to calculate the LCM of 935, 855, 151, 378, 384?
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 935, 855, 151, 378, 384.
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}.