LCM of 187, 392, 857, 910, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 392, 857, 910, 962 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 187, 392, 857, 910, 962. So, keep reading to learn more.
Given numbers are 187,392,857,910,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,392,857,910,962 is 151085774840.
Find LCM of 187,392,857,910,962 with Prime Factorization
| 2 | 187, 392, 857, 910, 962 |
| 7 | 187, 196, 857, 455, 481 |
| 13 | 187, 28, 857, 65, 481 |
| 187, 28, 857, 5, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 187 x 28 x 857 x 5 x 37 = 151085774840
Therefore, the lowest common multiple of 187,392,857,910,962 is 151085774840.
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.
187 x 392 x 857 x 910 x 962 = 54995222041760
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.
187 : 1, 11, 17, 187
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
857 : 1, 857
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,392,857,910,962, is 1.
Now, the common factors can be found like this.
187:11x 17
392:2x 2x 2x 7x 7
857:857
910:2x 5x 7x 13
962:2x 13x 37
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 7x 13 = 364
Therefore, the value for common factors is 364.
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 = 54995222041760/(1x364)
LCM = 54995222041760/364
LCM = 151085774840
Thus, we can understand that the LCM of 187,392,857,910,962 is 151085774840.
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FAQs on LCM of 187, 392, 857, 910, 962
1. What is the LCM of 187, 392, 857, 910, 962?
Answer: LCM of 187, 392, 857, 910, 962 is 151085774840.
2. How to calculate the LCM of 187, 392, 857, 910, 962?
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 187, 392, 857, 910, 962.
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}.