LCM of 852, 234, 619, 781, 857
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 852, 234, 619, 781, 857 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 852, 234, 619, 781, 857. So, keep reading to learn more.
Given numbers are 852,234,619,781,857
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,234,619,781,857 is 193895780364.
Find LCM of 852,234,619,781,857 with Prime Factorization
| 2 | 852, 234, 619, 781, 857 |
| 3 | 426, 117, 619, 781, 857 |
| 71 | 142, 39, 619, 781, 857 |
| 2, 39, 619, 11, 857 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 71 x 2 x 39 x 619 x 11 x 857 = 193895780364
Therefore, the lowest common multiple of 852,234,619,781,857 is 193895780364.
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.
852 x 234 x 619 x 781 x 857 = 82599602435064
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.
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
619 : 1, 619
781 : 1, 11, 71, 781
857 : 1, 857
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,234,619,781,857, is 1.
Now, the common factors can be found like this.
852:2x 2x 3x 71
234:2x 3x 3x 13
619:619
781:11x 71
857:857
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 71 = 426
Therefore, the value for common factors is 426.
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 = 82599602435064/(1x426)
LCM = 82599602435064/426
LCM = 193895780364
Thus, we can understand that the LCM of 852,234,619,781,857 is 193895780364.
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FAQs on LCM of 852, 234, 619, 781, 857
1. What is the LCM of 852, 234, 619, 781, 857?
Answer: LCM of 852, 234, 619, 781, 857 is 193895780364.
2. How to calculate the LCM of 852, 234, 619, 781, 857?
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 852, 234, 619, 781, 857.
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}.