LCM of 565, 468, 141, 900, 179
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 468, 141, 900, 179 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 565, 468, 141, 900, 179. So, keep reading to learn more.
Given numbers are 565,468,141,900,179
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,468,141,900,179 is 11122827300.
Find LCM of 565,468,141,900,179 with Prime Factorization
| 2 | 565, 468, 141, 900, 179 |
| 2 | 565, 234, 141, 450, 179 |
| 3 | 565, 117, 141, 225, 179 |
| 3 | 565, 39, 47, 75, 179 |
| 5 | 565, 13, 47, 25, 179 |
| 113, 13, 47, 5, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 113 x 13 x 47 x 5 x 179 = 11122827300
Therefore, the lowest common multiple of 565,468,141,900,179 is 11122827300.
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.
565 x 468 x 141 x 900 x 179 = 6006326742000
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.
565 : 1, 5, 113, 565
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
141 : 1, 3, 47, 141
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
179 : 1, 179
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,468,141,900,179, is 1.
Now, the common factors can be found like this.
565:5x 113
468:2x 2x 3x 3x 13
141:3x 47
900:2x 2x 3x 3x 5x 5
179:179
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 3x 3x 3x 5 = 540
Therefore, the value for common factors is 540.
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 = 6006326742000/(1x540)
LCM = 6006326742000/540
LCM = 11122827300
Thus, we can understand that the LCM of 565,468,141,900,179 is 11122827300.
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FAQs on LCM of 565, 468, 141, 900, 179
1. What is the LCM of 565, 468, 141, 900, 179?
Answer: LCM of 565, 468, 141, 900, 179 is 11122827300.
2. How to calculate the LCM of 565, 468, 141, 900, 179?
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 565, 468, 141, 900, 179.
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}.