LCM of 605, 104, 795, 598, 180
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 104, 795, 598, 180 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 605, 104, 795, 598, 180. So, keep reading to learn more.
Given numbers are 605,104,795,598,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,104,795,598,180 is 690295320.
Find LCM of 605,104,795,598,180 with Prime Factorization
| 2 | 605, 104, 795, 598, 180 |
| 2 | 605, 52, 795, 299, 90 |
| 3 | 605, 26, 795, 299, 45 |
| 5 | 605, 26, 265, 299, 15 |
| 13 | 121, 26, 53, 299, 3 |
| 121, 2, 53, 23, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 121 x 2 x 53 x 23 x 3 = 690295320
Therefore, the lowest common multiple of 605,104,795,598,180 is 690295320.
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.
605 x 104 x 795 x 598 x 180 = 5384303496000
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.
605 : 1, 5, 11, 55, 121, 605
104 : 1, 2, 4, 8, 13, 26, 52, 104
795 : 1, 3, 5, 15, 53, 159, 265, 795
598 : 1, 2, 13, 23, 26, 46, 299, 598
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,104,795,598,180, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
104:2x 2x 2x 13
795:3x 5x 53
598:2x 13x 23
180:2x 2x 3x 3x 5
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 3x 5x 5x 13 = 7800
Therefore, the value for common factors is 7800.
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 = 5384303496000/(1x7800)
LCM = 5384303496000/7800
LCM = 690295320
Thus, we can understand that the LCM of 605,104,795,598,180 is 690295320.
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FAQs on LCM of 605, 104, 795, 598, 180
1. What is the LCM of 605, 104, 795, 598, 180?
Answer: LCM of 605, 104, 795, 598, 180 is 690295320.
2. How to calculate the LCM of 605, 104, 795, 598, 180?
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 605, 104, 795, 598, 180.
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}.