LCM of 409, 595, 375, 407, 415
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 595, 375, 407, 415 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 409, 595, 375, 407, 415. So, keep reading to learn more.
Given numbers are 409,595,375,407,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,595,375,407,415 is 616558144125.
Find LCM of 409,595,375,407,415 with Prime Factorization
| 5 | 409, 595, 375, 407, 415 |
| 409, 119, 75, 407, 83 |
Multiply the prime numbers at the bottom and the left side.
5 x 409 x 119 x 75 x 407 x 83 = 616558144125
Therefore, the lowest common multiple of 409,595,375,407,415 is 616558144125.
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.
409 x 595 x 375 x 407 x 415 = 15413953603125
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.
409 : 1, 409
595 : 1, 5, 7, 17, 35, 85, 119, 595
375 : 1, 3, 5, 15, 25, 75, 125, 375
407 : 1, 11, 37, 407
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,595,375,407,415, is 1.
Now, the common factors can be found like this.
409:409
595:5x 7x 17
375:3x 5x 5x 5
407:11x 37
415:5x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5 = 25
Therefore, the value for common factors is 25.
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 = 15413953603125/(1x25)
LCM = 15413953603125/25
LCM = 616558144125
Thus, we can understand that the LCM of 409,595,375,407,415 is 616558144125.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 409, 595, 375, 407, 415
1. What is the LCM of 409, 595, 375, 407, 415?
Answer: LCM of 409, 595, 375, 407, 415 is 616558144125.
2. How to calculate the LCM of 409, 595, 375, 407, 415?
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 409, 595, 375, 407, 415.
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}.