LCM of 781, 595, 776, 578, 165
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 595, 776, 578, 165 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 781, 595, 776, 578, 165. So, keep reading to learn more.
Given numbers are 781,595,776,578,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,595,776,578,165 is 18390769320.
Find LCM of 781,595,776,578,165 with Prime Factorization
| 2 | 781, 595, 776, 578, 165 |
| 5 | 781, 595, 388, 289, 165 |
| 11 | 781, 119, 388, 289, 33 |
| 17 | 71, 119, 388, 289, 3 |
| 71, 7, 388, 17, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 17 x 71 x 7 x 388 x 17 x 3 = 18390769320
Therefore, the lowest common multiple of 781,595,776,578,165 is 18390769320.
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.
781 x 595 x 776 x 578 x 165 = 34390738628400
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.
781 : 1, 11, 71, 781
595 : 1, 5, 7, 17, 35, 85, 119, 595
776 : 1, 2, 4, 8, 97, 194, 388, 776
578 : 1, 2, 17, 34, 289, 578
165 : 1, 3, 5, 11, 15, 33, 55, 165
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,595,776,578,165, is 1.
Now, the common factors can be found like this.
781:11x 71
595:5x 7x 17
776:2x 2x 2x 97
578:2x 17x 17
165:3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 17 = 1870
Therefore, the value for common factors is 1870.
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 = 34390738628400/(1x1870)
LCM = 34390738628400/1870
LCM = 18390769320
Thus, we can understand that the LCM of 781,595,776,578,165 is 18390769320.
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FAQs on LCM of 781, 595, 776, 578, 165
1. What is the LCM of 781, 595, 776, 578, 165?
Answer: LCM of 781, 595, 776, 578, 165 is 18390769320.
2. How to calculate the LCM of 781, 595, 776, 578, 165?
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 781, 595, 776, 578, 165.
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}.