LCM of 101, 608, 615, 180, 406
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 101, 608, 615, 180, 406 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 101, 608, 615, 180, 406. So, keep reading to learn more.
Given numbers are 101,608,615,180,406
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,608,615,180,406 is 22999445280.
Find LCM of 101,608,615,180,406 with Prime Factorization
| 2 | 101, 608, 615, 180, 406 |
| 2 | 101, 304, 615, 90, 203 |
| 3 | 101, 152, 615, 45, 203 |
| 5 | 101, 152, 205, 15, 203 |
| 101, 152, 41, 3, 203 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 101 x 152 x 41 x 3 x 203 = 22999445280
Therefore, the lowest common multiple of 101,608,615,180,406 is 22999445280.
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.
101 x 608 x 615 x 180 x 406 = 2759933433600
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.
101 : 1, 101
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
615 : 1, 3, 5, 15, 41, 123, 205, 615
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
406 : 1, 2, 7, 14, 29, 58, 203, 406
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,608,615,180,406, is 1.
Now, the common factors can be found like this.
101:101
608:2x 2x 2x 2x 2x 19
615:3x 5x 41
180:2x 2x 3x 3x 5
406:2x 7x 29
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 5 = 120
Therefore, the value for common factors is 120.
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 = 2759933433600/(1x120)
LCM = 2759933433600/120
LCM = 22999445280
Thus, we can understand that the LCM of 101,608,615,180,406 is 22999445280.
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FAQs on LCM of 101, 608, 615, 180, 406
1. What is the LCM of 101, 608, 615, 180, 406?
Answer: LCM of 101, 608, 615, 180, 406 is 22999445280.
2. How to calculate the LCM of 101, 608, 615, 180, 406?
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 101, 608, 615, 180, 406.
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}.