LCM of 107, 100, 360, 917, 409
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 107, 100, 360, 917, 409 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 107, 100, 360, 917, 409. So, keep reading to learn more.
Given numbers are 107,100,360,917,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,100,360,917,409 is 72235207800.
Find LCM of 107,100,360,917,409 with Prime Factorization
| 2 | 107, 100, 360, 917, 409 |
| 2 | 107, 50, 180, 917, 409 |
| 5 | 107, 25, 90, 917, 409 |
| 107, 5, 18, 917, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 107 x 5 x 18 x 917 x 409 = 72235207800
Therefore, the lowest common multiple of 107,100,360,917,409 is 72235207800.
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.
107 x 100 x 360 x 917 x 409 = 1444704156000
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.
107 : 1, 107
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
917 : 1, 7, 131, 917
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,100,360,917,409, is 1.
Now, the common factors can be found like this.
107:107
100:2x 2x 5x 5
360:2x 2x 2x 3x 3x 5
917:7x 131
409:409
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 5 = 20
Therefore, the value for common factors is 20.
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 = 1444704156000/(1x20)
LCM = 1444704156000/20
LCM = 72235207800
Thus, we can understand that the LCM of 107,100,360,917,409 is 72235207800.
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FAQs on LCM of 107, 100, 360, 917, 409
1. What is the LCM of 107, 100, 360, 917, 409?
Answer: LCM of 107, 100, 360, 917, 409 is 72235207800.
2. How to calculate the LCM of 107, 100, 360, 917, 409?
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 107, 100, 360, 917, 409.
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}.